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Simplifying x + -12(8 + -1x) = x + 3(4 + -1x) + -1x x + (8 * -12 + -1x * -12) = x + 3(4 + -1x) + -1x x + (-96 + 12x) = x + 3(4 + -1x) + -1x Reorder the terms: -96 + x + 12x = x + 3(4 + -1x) + -1x Combine like terms: x + 12x = 13x -96 + 13x = x + 3(4 + -1x) + -1x -96 + 13x = x + (4 * 3 + -1x * 3) + -1x -96 + 13x = x + (12 + -3x) + -1x Reorder the terms: -96 + 13x = 12 + x + -3x + -1x Combine like terms: x + -3x = -2x -96 + 13x = 12 + -2x + -1x Combine like terms: -2x + -1x = -3x -96 + 13x = 12 + -3x Solving -96 + 13x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -96 + 13x + 3x = 12 + -3x + 3x Combine like terms: 13x + 3x = 16x -96 + 16x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -96 + 16x = 12 + 0 -96 + 16x = 12 Add '96' to each side of the equation. -96 + 96 + 16x = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 16x = 12 + 96 16x = 12 + 96 Combine like terms: 12 + 96 = 108 16x = 108 Divide each side by '16'. x = 6.75 Simplifying x = 6.75
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