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Simplifying -1(5x + -6) + -1(3x + -2) + 5 = -8(x + -7) + -1(5x + 5) + 2 Reorder the terms: -1(-6 + 5x) + -1(3x + -2) + 5 = -8(x + -7) + -1(5x + 5) + 2 (-6 * -1 + 5x * -1) + -1(3x + -2) + 5 = -8(x + -7) + -1(5x + 5) + 2 (6 + -5x) + -1(3x + -2) + 5 = -8(x + -7) + -1(5x + 5) + 2 Reorder the terms: 6 + -5x + -1(-2 + 3x) + 5 = -8(x + -7) + -1(5x + 5) + 2 6 + -5x + (-2 * -1 + 3x * -1) + 5 = -8(x + -7) + -1(5x + 5) + 2 6 + -5x + (2 + -3x) + 5 = -8(x + -7) + -1(5x + 5) + 2 Reorder the terms: 6 + 2 + 5 + -5x + -3x = -8(x + -7) + -1(5x + 5) + 2 Combine like terms: 6 + 2 = 8 8 + 5 + -5x + -3x = -8(x + -7) + -1(5x + 5) + 2 Combine like terms: 8 + 5 = 13 13 + -5x + -3x = -8(x + -7) + -1(5x + 5) + 2 Combine like terms: -5x + -3x = -8x 13 + -8x = -8(x + -7) + -1(5x + 5) + 2 Reorder the terms: 13 + -8x = -8(-7 + x) + -1(5x + 5) + 2 13 + -8x = (-7 * -8 + x * -8) + -1(5x + 5) + 2 13 + -8x = (56 + -8x) + -1(5x + 5) + 2 Reorder the terms: 13 + -8x = 56 + -8x + -1(5 + 5x) + 2 13 + -8x = 56 + -8x + (5 * -1 + 5x * -1) + 2 13 + -8x = 56 + -8x + (-5 + -5x) + 2 Reorder the terms: 13 + -8x = 56 + -5 + 2 + -8x + -5x Combine like terms: 56 + -5 = 51 13 + -8x = 51 + 2 + -8x + -5x Combine like terms: 51 + 2 = 53 13 + -8x = 53 + -8x + -5x Combine like terms: -8x + -5x = -13x 13 + -8x = 53 + -13x Solving 13 + -8x = 53 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 13 + -8x + 13x = 53 + -13x + 13x Combine like terms: -8x + 13x = 5x 13 + 5x = 53 + -13x + 13x Combine like terms: -13x + 13x = 0 13 + 5x = 53 + 0 13 + 5x = 53 Add '-13' to each side of the equation. 13 + -13 + 5x = 53 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 53 + -13 5x = 53 + -13 Combine like terms: 53 + -13 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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