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Simplifying -1(7x + -3) + -1(3x + -5) + 15 = -7(x + -1) + -1(8x + 7) + 3 Reorder the terms: -1(-3 + 7x) + -1(3x + -5) + 15 = -7(x + -1) + -1(8x + 7) + 3 (-3 * -1 + 7x * -1) + -1(3x + -5) + 15 = -7(x + -1) + -1(8x + 7) + 3 (3 + -7x) + -1(3x + -5) + 15 = -7(x + -1) + -1(8x + 7) + 3 Reorder the terms: 3 + -7x + -1(-5 + 3x) + 15 = -7(x + -1) + -1(8x + 7) + 3 3 + -7x + (-5 * -1 + 3x * -1) + 15 = -7(x + -1) + -1(8x + 7) + 3 3 + -7x + (5 + -3x) + 15 = -7(x + -1) + -1(8x + 7) + 3 Reorder the terms: 3 + 5 + 15 + -7x + -3x = -7(x + -1) + -1(8x + 7) + 3 Combine like terms: 3 + 5 = 8 8 + 15 + -7x + -3x = -7(x + -1) + -1(8x + 7) + 3 Combine like terms: 8 + 15 = 23 23 + -7x + -3x = -7(x + -1) + -1(8x + 7) + 3 Combine like terms: -7x + -3x = -10x 23 + -10x = -7(x + -1) + -1(8x + 7) + 3 Reorder the terms: 23 + -10x = -7(-1 + x) + -1(8x + 7) + 3 23 + -10x = (-1 * -7 + x * -7) + -1(8x + 7) + 3 23 + -10x = (7 + -7x) + -1(8x + 7) + 3 Reorder the terms: 23 + -10x = 7 + -7x + -1(7 + 8x) + 3 23 + -10x = 7 + -7x + (7 * -1 + 8x * -1) + 3 23 + -10x = 7 + -7x + (-7 + -8x) + 3 Reorder the terms: 23 + -10x = 7 + -7 + 3 + -7x + -8x Combine like terms: 7 + -7 = 0 23 + -10x = 0 + 3 + -7x + -8x 23 + -10x = 3 + -7x + -8x Combine like terms: -7x + -8x = -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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