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Simplifying -1(5x + -3) + -1(5x + -6) + 14 = -9(x + -1) + -1(6x + 9) + 3 Reorder the terms: -1(-3 + 5x) + -1(5x + -6) + 14 = -9(x + -1) + -1(6x + 9) + 3 (-3 * -1 + 5x * -1) + -1(5x + -6) + 14 = -9(x + -1) + -1(6x + 9) + 3 (3 + -5x) + -1(5x + -6) + 14 = -9(x + -1) + -1(6x + 9) + 3 Reorder the terms: 3 + -5x + -1(-6 + 5x) + 14 = -9(x + -1) + -1(6x + 9) + 3 3 + -5x + (-6 * -1 + 5x * -1) + 14 = -9(x + -1) + -1(6x + 9) + 3 3 + -5x + (6 + -5x) + 14 = -9(x + -1) + -1(6x + 9) + 3 Reorder the terms: 3 + 6 + 14 + -5x + -5x = -9(x + -1) + -1(6x + 9) + 3 Combine like terms: 3 + 6 = 9 9 + 14 + -5x + -5x = -9(x + -1) + -1(6x + 9) + 3 Combine like terms: 9 + 14 = 23 23 + -5x + -5x = -9(x + -1) + -1(6x + 9) + 3 Combine like terms: -5x + -5x = -10x 23 + -10x = -9(x + -1) + -1(6x + 9) + 3 Reorder the terms: 23 + -10x = -9(-1 + x) + -1(6x + 9) + 3 23 + -10x = (-1 * -9 + x * -9) + -1(6x + 9) + 3 23 + -10x = (9 + -9x) + -1(6x + 9) + 3 Reorder the terms: 23 + -10x = 9 + -9x + -1(9 + 6x) + 3 23 + -10x = 9 + -9x + (9 * -1 + 6x * -1) + 3 23 + -10x = 9 + -9x + (-9 + -6x) + 3 Reorder the terms: 23 + -10x = 9 + -9 + 3 + -9x + -6x Combine like terms: 9 + -9 = 0 23 + -10x = 0 + 3 + -9x + -6x 23 + -10x = 3 + -9x + -6x Combine like terms: -9x + -6x = -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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