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Simplifying 112 + -1(5x + 12) = 5(x + -9) + x Reorder the terms: 112 + -1(12 + 5x) = 5(x + -9) + x 112 + (12 * -1 + 5x * -1) = 5(x + -9) + x 112 + (-12 + -5x) = 5(x + -9) + x Combine like terms: 112 + -12 = 100 100 + -5x = 5(x + -9) + x Reorder the terms: 100 + -5x = 5(-9 + x) + x 100 + -5x = (-9 * 5 + x * 5) + x 100 + -5x = (-45 + 5x) + x Combine like terms: 5x + x = 6x 100 + -5x = -45 + 6x Solving 100 + -5x = -45 + 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. 100 + -5x + -6x = -45 + 6x + -6x Combine like terms: -5x + -6x = -11x 100 + -11x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 100 + -11x = -45 + 0 100 + -11x = -45 Add '-100' to each side of the equation. 100 + -100 + -11x = -45 + -100 Combine like terms: 100 + -100 = 0 0 + -11x = -45 + -100 -11x = -45 + -100 Combine like terms: -45 + -100 = -145 -11x = -145 Divide each side by '-11'. x = 13.18181818 Simplifying x = 13.18181818
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