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Simplifying -1(2x + -3) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4x + 9) + -1 Reorder the terms: -1(-3 + 2x) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4x + 9) + -1 (-3 * -1 + 2x * -1) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4x + 9) + -1 (3 + -2x) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4x + 9) + -1 Reorder the terms: 3 + -2x + -1(7 + 10x) + -2 = -1(12x + -5) + -1(4x + 9) + -1 3 + -2x + (7 * -1 + 10x * -1) + -2 = -1(12x + -5) + -1(4x + 9) + -1 3 + -2x + (-7 + -10x) + -2 = -1(12x + -5) + -1(4x + 9) + -1 Reorder the terms: 3 + -7 + -2 + -2x + -10x = -1(12x + -5) + -1(4x + 9) + -1 Combine like terms: 3 + -7 = -4 -4 + -2 + -2x + -10x = -1(12x + -5) + -1(4x + 9) + -1 Combine like terms: -4 + -2 = -6 -6 + -2x + -10x = -1(12x + -5) + -1(4x + 9) + -1 Combine like terms: -2x + -10x = -12x -6 + -12x = -1(12x + -5) + -1(4x + 9) + -1 Reorder the terms: -6 + -12x = -1(-5 + 12x) + -1(4x + 9) + -1 -6 + -12x = (-5 * -1 + 12x * -1) + -1(4x + 9) + -1 -6 + -12x = (5 + -12x) + -1(4x + 9) + -1 Reorder the terms: -6 + -12x = 5 + -12x + -1(9 + 4x) + -1 -6 + -12x = 5 + -12x + (9 * -1 + 4x * -1) + -1 -6 + -12x = 5 + -12x + (-9 + -4x) + -1 Reorder the terms: -6 + -12x = 5 + -9 + -1 + -12x + -4x Combine like terms: 5 + -9 = -4 -6 + -12x = -4 + -1 + -12x + -4x Combine like terms: -4 + -1 = -5 -6 + -12x = -5 + -12x + -4x Combine like terms: -12x + -4x = -16x -6 + -12x = -5 + -16x Solving -6 + -12x = -5 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + -12x + 16x = -5 + -16x + 16x Combine like terms: -12x + 16x = 4x -6 + 4x = -5 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 4x = -5 + 0 -6 + 4x = -5 Add '6' to each side of the equation. -6 + 6 + 4x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -5 + 6 4x = -5 + 6 Combine like terms: -5 + 6 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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