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Simplifying -1(3x + -4) + -1(2x + -6) + 2 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: -1(-4 + 3x) + -1(2x + -6) + 2 = -5(x + -1) + -1(3x + 2) + 3 (-4 * -1 + 3x * -1) + -1(2x + -6) + 2 = -5(x + -1) + -1(3x + 2) + 3 (4 + -3x) + -1(2x + -6) + 2 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 4 + -3x + -1(-6 + 2x) + 2 = -5(x + -1) + -1(3x + 2) + 3 4 + -3x + (-6 * -1 + 2x * -1) + 2 = -5(x + -1) + -1(3x + 2) + 3 4 + -3x + (6 + -2x) + 2 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 4 + 6 + 2 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: 4 + 6 = 10 10 + 2 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: 10 + 2 = 12 12 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: -3x + -2x = -5x 12 + -5x = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 12 + -5x = -5(-1 + x) + -1(3x + 2) + 3 12 + -5x = (-1 * -5 + x * -5) + -1(3x + 2) + 3 12 + -5x = (5 + -5x) + -1(3x + 2) + 3 Reorder the terms: 12 + -5x = 5 + -5x + -1(2 + 3x) + 3 12 + -5x = 5 + -5x + (2 * -1 + 3x * -1) + 3 12 + -5x = 5 + -5x + (-2 + -3x) + 3 Reorder the terms: 12 + -5x = 5 + -2 + 3 + -5x + -3x Combine like terms: 5 + -2 = 3 12 + -5x = 3 + 3 + -5x + -3x Combine like terms: 3 + 3 = 6 12 + -5x = 6 + -5x + -3x Combine like terms: -5x + -3x = -8x 12 + -5x = 6 + -8x Solving 12 + -5x = 6 + -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. 12 + -5x + 8x = 6 + -8x + 8x Combine like terms: -5x + 8x = 3x 12 + 3x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 3x = 6 + 0 12 + 3x = 6 Add '-12' to each side of the equation. 12 + -12 + 3x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 6 + -12 3x = 6 + -12 Combine like terms: 6 + -12 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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