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Simplifying -1(2x + -4) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3 Reorder the terms: -1(-4 + 2x) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3 (-4 * -1 + 2x * -1) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3 (4 + -2x) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3 Reorder the terms: 4 + -2x + -1(-6 + 8x) + 13 = -8(x + -1) + -1(7x + 8) + 3 4 + -2x + (-6 * -1 + 8x * -1) + 13 = -8(x + -1) + -1(7x + 8) + 3 4 + -2x + (6 + -8x) + 13 = -8(x + -1) + -1(7x + 8) + 3 Reorder the terms: 4 + 6 + 13 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3 Combine like terms: 4 + 6 = 10 10 + 13 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3 Combine like terms: 10 + 13 = 23 23 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3 Combine like terms: -2x + -8x = -10x 23 + -10x = -8(x + -1) + -1(7x + 8) + 3 Reorder the terms: 23 + -10x = -8(-1 + x) + -1(7x + 8) + 3 23 + -10x = (-1 * -8 + x * -8) + -1(7x + 8) + 3 23 + -10x = (8 + -8x) + -1(7x + 8) + 3 Reorder the terms: 23 + -10x = 8 + -8x + -1(8 + 7x) + 3 23 + -10x = 8 + -8x + (8 * -1 + 7x * -1) + 3 23 + -10x = 8 + -8x + (-8 + -7x) + 3 Reorder the terms: 23 + -10x = 8 + -8 + 3 + -8x + -7x Combine like terms: 8 + -8 = 0 23 + -10x = 0 + 3 + -8x + -7x 23 + -10x = 3 + -8x + -7x Combine like terms: -8x + -7x = -15x 23 + -10x = 3 + -15x Solving 23 + -10x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 23 + -10x + 15x = 3 + -15x + 15x Combine like terms: -10x + 15x = 5x 23 + 5x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 5x = 3 + 0 23 + 5x = 3 Add '-23' to each side of the equation. 23 + -23 + 5x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 3 + -23 5x = 3 + -23 Combine like terms: 3 + -23 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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