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Simplifying -12x + 8(5 + -6x) = 1 + -8(x + -9) + 8 -12x + (5 * 8 + -6x * 8) = 1 + -8(x + -9) + 8 -12x + (40 + -48x) = 1 + -8(x + -9) + 8 Reorder the terms: 40 + -12x + -48x = 1 + -8(x + -9) + 8 Combine like terms: -12x + -48x = -60x 40 + -60x = 1 + -8(x + -9) + 8 Reorder the terms: 40 + -60x = 1 + -8(-9 + x) + 8 40 + -60x = 1 + (-9 * -8 + x * -8) + 8 40 + -60x = 1 + (72 + -8x) + 8 Reorder the terms: 40 + -60x = 1 + 72 + 8 + -8x Combine like terms: 1 + 72 = 73 40 + -60x = 73 + 8 + -8x Combine like terms: 73 + 8 = 81 40 + -60x = 81 + -8x Solving 40 + -60x = 81 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + -60x + 8x = 81 + -8x + 8x Combine like terms: -60x + 8x = -52x 40 + -52x = 81 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + -52x = 81 + 0 40 + -52x = 81 Add '-40' to each side of the equation. 40 + -40 + -52x = 81 + -40 Combine like terms: 40 + -40 = 0 0 + -52x = 81 + -40 -52x = 81 + -40 Combine like terms: 81 + -40 = 41 -52x = 41 Divide each side by '-52'. x = -0.7884615385 Simplifying x = -0.7884615385
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