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Simplifying 8(12 + -1x) = 5(x + 1) (12 * 8 + -1x * 8) = 5(x + 1) (96 + -8x) = 5(x + 1) Reorder the terms: 96 + -8x = 5(1 + x) 96 + -8x = (1 * 5 + x * 5) 96 + -8x = (5 + 5x) Solving 96 + -8x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 96 + -8x + -5x = 5 + 5x + -5x Combine like terms: -8x + -5x = -13x 96 + -13x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 96 + -13x = 5 + 0 96 + -13x = 5 Add '-96' to each side of the equation. 96 + -96 + -13x = 5 + -96 Combine like terms: 96 + -96 = 0 0 + -13x = 5 + -96 -13x = 5 + -96 Combine like terms: 5 + -96 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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