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Simplifying 3x + 7(-2x + 16) = 178 Reorder the terms: 3x + 7(16 + -2x) = 178 3x + (16 * 7 + -2x * 7) = 178 3x + (112 + -14x) = 178 Reorder the terms: 112 + 3x + -14x = 178 Combine like terms: 3x + -14x = -11x 112 + -11x = 178 Solving 112 + -11x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -11x = 178 + -112 Combine like terms: 112 + -112 = 0 0 + -11x = 178 + -112 -11x = 178 + -112 Combine like terms: 178 + -112 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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