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Create an intriguing image of a mathematical equation being solved on a large blackboard. The equation is: 102.5 times the quantity of 'x' minus 11.92 and it equals to 71.6. There should be no explicit solution presented in the image. The atmosphere of the image should indicate concentration and intellectual rigor, akin to a rigorous high school or college math classroom. The image should not contain any text.

Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)

102.5(x−11.92)=71.6

Dividing both sides of the equation by 102.5:

x - 11.92 = 0.69854

Adding 11.92 to both sides of the equation:

x = 12.61854

Rounding to 3 decimal places:

x = 12.619

what was the answer before rounded?

Before rounding, the answer is x = 12.61854.

102.5(x−11.92)=71.6

Sure, let's solve the equation step by step:

102.5(x−11.92)=71.6

First, let's distribute the 102.5 to eliminate the parentheses:

102.5 * x - 102.5 * 11.92 = 71.6

This simplifies to:

102.5x - 1217.9 = 71.6

Next, let's isolate the variable term by adding 1217.9 to both sides:

102.5x - 1217.9 + 1217.9 = 71.6 + 1217.9

This simplifies to:

102.5x = 1289.5

Finally, let's solve for x by dividing both sides by 102.5:

(102.5x)/102.5 = 1289.5/102.5

This simplifies to:

x = 12.595

Rounding this answer to 3 decimal places gives:

x ≈ 12.595

To solve for x in the equation 102.5(x - 11.92) = 71.6, we can follow these steps:

Step 1: Distribute the 102.5 to the terms inside the parentheses:
102.5x - (102.5)(11.92) = 71.6

Step 2: Simplify by multiplying:
102.5x - 1219.1 = 71.6

Step 3: Move the constant term (-1219.1) to the other side of the equation by adding it to both sides:
102.5x = 71.6 + 1219.1

Step 4: Simplify:
102.5x = 1290.7

Step 5: Divide both sides of the equation by 102.5 to solve for x:
x = 1290.7 / 102.5

Step 6: Calculate:
x ≈ 12.600 (rounded to 3 decimal places)

Therefore, x is approximately 12.600.

To solve for x in the equation 102.5(x − 11.92) = 71.6 and round your answer to 3 decimal places, follow these steps:

Step 1: Distribute 102.5 to the terms inside the parentheses:
102.5x − 102.5(11.92) = 71.6

Step 2: Simplify:
102.5x − 1207.4 = 71.6

Step 3: Move the constant term to the opposite side of the equation by adding 1207.4 to both sides:
102.5x = 71.6 + 1207.4

Step 4: Combine the constant terms on the right side:
102.5x = 1279

Step 5: Solve for x by dividing both sides of the equation by 102.5:
x = 1279 / 102.5

Step 6: Use a calculator to evaluate the division:
x ≈ 12.486

Step 7: Round your answer to 3 decimal places:
x ≈ 12.486 (rounded to 3 decimal places)

Therefore, the solution to the equation 102.5(x − 11.92) = 71.6, rounded to 3 decimal places, is x ≈ 12.486.