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Simplifying -12(x + -1) + 5(3x + -1) + -8 = 2(2 + -1x) + 9x Reorder the terms: -12(-1 + x) + 5(3x + -1) + -8 = 2(2 + -1x) + 9x (-1 * -12 + x * -12) + 5(3x + -1) + -8 = 2(2 + -1x) + 9x (12 + -12x) + 5(3x + -1) + -8 = 2(2 + -1x) + 9x Reorder the terms: 12 + -12x + 5(-1 + 3x) + -8 = 2(2 + -1x) + 9x 12 + -12x + (-1 * 5 + 3x * 5) + -8 = 2(2 + -1x) + 9x 12 + -12x + (-5 + 15x) + -8 = 2(2 + -1x) + 9x Reorder the terms: 12 + -5 + -8 + -12x + 15x = 2(2 + -1x) + 9x Combine like terms: 12 + -5 = 7 7 + -8 + -12x + 15x = 2(2 + -1x) + 9x Combine like terms: 7 + -8 = -1 -1 + -12x + 15x = 2(2 + -1x) + 9x Combine like terms: -12x + 15x = 3x -1 + 3x = 2(2 + -1x) + 9x -1 + 3x = (2 * 2 + -1x * 2) + 9x -1 + 3x = (4 + -2x) + 9x Combine like terms: -2x + 9x = 7x -1 + 3x = 4 + 7x Solving -1 + 3x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 3x + -7x = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x -1 + -4x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -4x = 4 + 0 -1 + -4x = 4 Add '1' to each side of the equation. -1 + 1 + -4x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 4 + 1 -4x = 4 + 1 Combine like terms: 4 + 1 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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