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Simplifying 3(5x + -6) + -2(x + -9) = 12(x + -1) + -100 Reorder the terms: 3(-6 + 5x) + -2(x + -9) = 12(x + -1) + -100 (-6 * 3 + 5x * 3) + -2(x + -9) = 12(x + -1) + -100 (-18 + 15x) + -2(x + -9) = 12(x + -1) + -100 Reorder the terms: -18 + 15x + -2(-9 + x) = 12(x + -1) + -100 -18 + 15x + (-9 * -2 + x * -2) = 12(x + -1) + -100 -18 + 15x + (18 + -2x) = 12(x + -1) + -100 Reorder the terms: -18 + 18 + 15x + -2x = 12(x + -1) + -100 Combine like terms: -18 + 18 = 0 0 + 15x + -2x = 12(x + -1) + -100 15x + -2x = 12(x + -1) + -100 Combine like terms: 15x + -2x = 13x 13x = 12(x + -1) + -100 Reorder the terms: 13x = 12(-1 + x) + -100 13x = (-1 * 12 + x * 12) + -100 13x = (-12 + 12x) + -100 Reorder the terms: 13x = -12 + -100 + 12x Combine like terms: -12 + -100 = -112 13x = -112 + 12x Solving 13x = -112 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13x + -12x = -112 + 12x + -12x Combine like terms: 13x + -12x = 1x 1x = -112 + 12x + -12x Combine like terms: 12x + -12x = 0 1x = -112 + 0 1x = -112 Divide each side by '1'. x = -112 Simplifying x = -112
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