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Explain Bot To simplify the expression 2 + 17x - 5x + 9, you can combine like terms. Like terms are terms that have the same variable raised to the same power.
In this case, the like terms are the terms with the variable 'x'. You have 17x and -5x.
To combine these terms, you can add their coefficients (the numbers in front of 'x'). In this case, 17x and -5x have coefficients of 17 and -5, respectively. Adding them together, you get:
17x - 5x = (17 - 5)x = 12x
Now, the expression becomes:
2 + 12x + 9
To simplify further, you can combine the constants (the numbers without variables), which in this case are 2 and 9:
2 + 9 = 11
Now, the simplified expression becomes:
11 + 12x
Therefore, the simplified form of 2 + 17x - 5x + 9 is 11 + 12x.