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Simplifying -1(2x + -5) + -1(5x + -6) + 2 = -3(x + -1) + -1(8x + 1) + 3 Reorder the terms: -1(-5 + 2x) + -1(5x + -6) + 2 = -3(x + -1) + -1(8x + 1) + 3 (-5 * -1 + 2x * -1) + -1(5x + -6) + 2 = -3(x + -1) + -1(8x + 1) + 3 (5 + -2x) + -1(5x + -6) + 2 = -3(x + -1) + -1(8x + 1) + 3 Reorder the terms: 5 + -2x + -1(-6 + 5x) + 2 = -3(x + -1) + -1(8x + 1) + 3 5 + -2x + (-6 * -1 + 5x * -1) + 2 = -3(x + -1) + -1(8x + 1) + 3 5 + -2x + (6 + -5x) + 2 = -3(x + -1) + -1(8x + 1) + 3 Reorder the terms: 5 + 6 + 2 + -2x + -5x = -3(x + -1) + -1(8x + 1) + 3 Combine like terms: 5 + 6 = 11 11 + 2 + -2x + -5x = -3(x + -1) + -1(8x + 1) + 3 Combine like terms: 11 + 2 = 13 13 + -2x + -5x = -3(x + -1) + -1(8x + 1) + 3 Combine like terms: -2x + -5x = -7x 13 + -7x = -3(x + -1) + -1(8x + 1) + 3 Reorder the terms: 13 + -7x = -3(-1 + x) + -1(8x + 1) + 3 13 + -7x = (-1 * -3 + x * -3) + -1(8x + 1) + 3 13 + -7x = (3 + -3x) + -1(8x + 1) + 3 Reorder the terms: 13 + -7x = 3 + -3x + -1(1 + 8x) + 3 13 + -7x = 3 + -3x + (1 * -1 + 8x * -1) + 3 13 + -7x = 3 + -3x + (-1 + -8x) + 3 Reorder the terms: 13 + -7x = 3 + -1 + 3 + -3x + -8x Combine like terms: 3 + -1 = 2 13 + -7x = 2 + 3 + -3x + -8x Combine like terms: 2 + 3 = 5 13 + -7x = 5 + -3x + -8x Combine like terms: -3x + -8x = -11x 13 + -7x = 5 + -11x Solving 13 + -7x = 5 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 13 + -7x + 11x = 5 + -11x + 11x Combine like terms: -7x + 11x = 4x 13 + 4x = 5 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + 4x = 5 + 0 13 + 4x = 5 Add '-13' to each side of the equation. 13 + -13 + 4x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 5 + -13 4x = 5 + -13 Combine like terms: 5 + -13 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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