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5. solve the equation $-3(x - 1) + 7x = 27$.

Question

  1. solve the equation $-3(x - 1) + 7x = 27$.

Explanation:

Step1: Expand the parentheses

$-3(x-1) + 7x = -3x + 3 + 7x = 27$

Step2: Combine like terms

$(-3x + 7x) + 3 = 27$
$4x + 3 = 27$

Step3: Isolate the variable term

$4x = 27 - 3$
$4x = 24$

Step4: Solve for x

$x = \frac{24}{4}$

Answer:

$x = 6$