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Simplifying 113 + -1(5x + -12) = 5(x + 7) + x Reorder the terms: 113 + -1(-12 + 5x) = 5(x + 7) + x 113 + (-12 * -1 + 5x * -1) = 5(x + 7) + x 113 + (12 + -5x) = 5(x + 7) + x Combine like terms: 113 + 12 = 125 125 + -5x = 5(x + 7) + x Reorder the terms: 125 + -5x = 5(7 + x) + x 125 + -5x = (7 * 5 + x * 5) + x 125 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 125 + -5x = 35 + 6x Solving 125 + -5x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 125 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 125 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 125 + -11x = 35 + 0 125 + -11x = 35 Add '-125' to each side of the equation. 125 + -125 + -11x = 35 + -125 Combine like terms: 125 + -125 = 0 0 + -11x = 35 + -125 -11x = 35 + -125 Combine like terms: 35 + -125 = -90 -11x = -90 Divide each side by '-11'. x = 8.181818182 Simplifying x = 8.181818182
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