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Simplifying -1(5x + -3) + -1(2x + -5) + 5 = -9(x + -1) + -1(2x + 7) + 7 Reorder the terms: -1(-3 + 5x) + -1(2x + -5) + 5 = -9(x + -1) + -1(2x + 7) + 7 (-3 * -1 + 5x * -1) + -1(2x + -5) + 5 = -9(x + -1) + -1(2x + 7) + 7 (3 + -5x) + -1(2x + -5) + 5 = -9(x + -1) + -1(2x + 7) + 7 Reorder the terms: 3 + -5x + -1(-5 + 2x) + 5 = -9(x + -1) + -1(2x + 7) + 7 3 + -5x + (-5 * -1 + 2x * -1) + 5 = -9(x + -1) + -1(2x + 7) + 7 3 + -5x + (5 + -2x) + 5 = -9(x + -1) + -1(2x + 7) + 7 Reorder the terms: 3 + 5 + 5 + -5x + -2x = -9(x + -1) + -1(2x + 7) + 7 Combine like terms: 3 + 5 = 8 8 + 5 + -5x + -2x = -9(x + -1) + -1(2x + 7) + 7 Combine like terms: 8 + 5 = 13 13 + -5x + -2x = -9(x + -1) + -1(2x + 7) + 7 Combine like terms: -5x + -2x = -7x 13 + -7x = -9(x + -1) + -1(2x + 7) + 7 Reorder the terms: 13 + -7x = -9(-1 + x) + -1(2x + 7) + 7 13 + -7x = (-1 * -9 + x * -9) + -1(2x + 7) + 7 13 + -7x = (9 + -9x) + -1(2x + 7) + 7 Reorder the terms: 13 + -7x = 9 + -9x + -1(7 + 2x) + 7 13 + -7x = 9 + -9x + (7 * -1 + 2x * -1) + 7 13 + -7x = 9 + -9x + (-7 + -2x) + 7 Reorder the terms: 13 + -7x = 9 + -7 + 7 + -9x + -2x Combine like terms: 9 + -7 = 2 13 + -7x = 2 + 7 + -9x + -2x Combine like terms: 2 + 7 = 9 13 + -7x = 9 + -9x + -2x Combine like terms: -9x + -2x = -11x 13 + -7x = 9 + -11x Solving 13 + -7x = 9 + -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 = 9 + -11x + 11x Combine like terms: -7x + 11x = 4x 13 + 4x = 9 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + 4x = 9 + 0 13 + 4x = 9 Add '-13' to each side of the equation. 13 + -13 + 4x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 9 + -13 4x = 9 + -13 Combine like terms: 9 + -13 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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