Solve for x in the equation −6.29(x+7.85)=−19.499 .(1 point)
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To solve for x in the equation −6.29(x+7.85) = −19.499, we can start by distributing -6.29 to the terms inside the parentheses:
-6.29(x+7.85) = −19.499
-6.29x - 6.29 * 7.85 = −19.499
Simplify the equation:
-6.29x - 49.2565 = −19.499
Next, add 49.2565 to both sides of the equation to isolate -6.29x:
-6.29x - 49.2565 + 49.2565 = -19.499 + 49.2565
-6.29x = 29.7575
Finally, divide both sides of the equation by -6.29 to solve for x:
x = 29.7575 / -6.29
x ≈ -4.731