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Simplifying -1(3x + -5) + -2(x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: -1(-5 + 3x) + -2(x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3 (-5 * -1 + 3x * -1) + -2(x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3 (5 + -3x) + -2(x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 5 + -3x + -2(-6 + x) + 1 = -5(x + -1) + -1(3x + 2) + 3 5 + -3x + (-6 * -2 + x * -2) + 1 = -5(x + -1) + -1(3x + 2) + 3 5 + -3x + (12 + -2x) + 1 = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 5 + 12 + 1 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: 5 + 12 = 17 17 + 1 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: 17 + 1 = 18 18 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3 Combine like terms: -3x + -2x = -5x 18 + -5x = -5(x + -1) + -1(3x + 2) + 3 Reorder the terms: 18 + -5x = -5(-1 + x) + -1(3x + 2) + 3 18 + -5x = (-1 * -5 + x * -5) + -1(3x + 2) + 3 18 + -5x = (5 + -5x) + -1(3x + 2) + 3 Reorder the terms: 18 + -5x = 5 + -5x + -1(2 + 3x) + 3 18 + -5x = 5 + -5x + (2 * -1 + 3x * -1) + 3 18 + -5x = 5 + -5x + (-2 + -3x) + 3 Reorder the terms: 18 + -5x = 5 + -2 + 3 + -5x + -3x Combine like terms: 5 + -2 = 3 18 + -5x = 3 + 3 + -5x + -3x Combine like terms: 3 + 3 = 6 18 + -5x = 6 + -5x + -3x Combine like terms: -5x + -3x = -8x 18 + -5x = 6 + -8x Solving 18 + -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. 18 + -5x + 8x = 6 + -8x + 8x Combine like terms: -5x + 8x = 3x 18 + 3x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 3x = 6 + 0 18 + 3x = 6 Add '-18' to each side of the equation. 18 + -18 + 3x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 6 + -18 3x = 6 + -18 Combine like terms: 6 + -18 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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