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Simplifying -1(10x + -3) + -1(3x + -5) + 9 = -9(x + -1) + -1(7x + 10) + 3 Reorder the terms: -1(-3 + 10x) + -1(3x + -5) + 9 = -9(x + -1) + -1(7x + 10) + 3 (-3 * -1 + 10x * -1) + -1(3x + -5) + 9 = -9(x + -1) + -1(7x + 10) + 3 (3 + -10x) + -1(3x + -5) + 9 = -9(x + -1) + -1(7x + 10) + 3 Reorder the terms: 3 + -10x + -1(-5 + 3x) + 9 = -9(x + -1) + -1(7x + 10) + 3 3 + -10x + (-5 * -1 + 3x * -1) + 9 = -9(x + -1) + -1(7x + 10) + 3 3 + -10x + (5 + -3x) + 9 = -9(x + -1) + -1(7x + 10) + 3 Reorder the terms: 3 + 5 + 9 + -10x + -3x = -9(x + -1) + -1(7x + 10) + 3 Combine like terms: 3 + 5 = 8 8 + 9 + -10x + -3x = -9(x + -1) + -1(7x + 10) + 3 Combine like terms: 8 + 9 = 17 17 + -10x + -3x = -9(x + -1) + -1(7x + 10) + 3 Combine like terms: -10x + -3x = -13x 17 + -13x = -9(x + -1) + -1(7x + 10) + 3 Reorder the terms: 17 + -13x = -9(-1 + x) + -1(7x + 10) + 3 17 + -13x = (-1 * -9 + x * -9) + -1(7x + 10) + 3 17 + -13x = (9 + -9x) + -1(7x + 10) + 3 Reorder the terms: 17 + -13x = 9 + -9x + -1(10 + 7x) + 3 17 + -13x = 9 + -9x + (10 * -1 + 7x * -1) + 3 17 + -13x = 9 + -9x + (-10 + -7x) + 3 Reorder the terms: 17 + -13x = 9 + -10 + 3 + -9x + -7x Combine like terms: 9 + -10 = -1 17 + -13x = -1 + 3 + -9x + -7x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -9x + -7x Combine like terms: -9x + -7x = -16x 17 + -13x = 2 + -16x Solving 17 + -13x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 17 + -13x + 16x = 2 + -16x + 16x Combine like terms: -13x + 16x = 3x 17 + 3x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 17 + 3x = 2 + 0 17 + 3x = 2 Add '-17' to each side of the equation. 17 + -17 + 3x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 2 + -17 3x = 2 + -17 Combine like terms: 2 + -17 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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