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Simplifying -1(9x + -4) + -1(5x + -5) + 6 = -7(x + -1) + -1(10x + 7) + 3 Reorder the terms: -1(-4 + 9x) + -1(5x + -5) + 6 = -7(x + -1) + -1(10x + 7) + 3 (-4 * -1 + 9x * -1) + -1(5x + -5) + 6 = -7(x + -1) + -1(10x + 7) + 3 (4 + -9x) + -1(5x + -5) + 6 = -7(x + -1) + -1(10x + 7) + 3 Reorder the terms: 4 + -9x + -1(-5 + 5x) + 6 = -7(x + -1) + -1(10x + 7) + 3 4 + -9x + (-5 * -1 + 5x * -1) + 6 = -7(x + -1) + -1(10x + 7) + 3 4 + -9x + (5 + -5x) + 6 = -7(x + -1) + -1(10x + 7) + 3 Reorder the terms: 4 + 5 + 6 + -9x + -5x = -7(x + -1) + -1(10x + 7) + 3 Combine like terms: 4 + 5 = 9 9 + 6 + -9x + -5x = -7(x + -1) + -1(10x + 7) + 3 Combine like terms: 9 + 6 = 15 15 + -9x + -5x = -7(x + -1) + -1(10x + 7) + 3 Combine like terms: -9x + -5x = -14x 15 + -14x = -7(x + -1) + -1(10x + 7) + 3 Reorder the terms: 15 + -14x = -7(-1 + x) + -1(10x + 7) + 3 15 + -14x = (-1 * -7 + x * -7) + -1(10x + 7) + 3 15 + -14x = (7 + -7x) + -1(10x + 7) + 3 Reorder the terms: 15 + -14x = 7 + -7x + -1(7 + 10x) + 3 15 + -14x = 7 + -7x + (7 * -1 + 10x * -1) + 3 15 + -14x = 7 + -7x + (-7 + -10x) + 3 Reorder the terms: 15 + -14x = 7 + -7 + 3 + -7x + -10x Combine like terms: 7 + -7 = 0 15 + -14x = 0 + 3 + -7x + -10x 15 + -14x = 3 + -7x + -10x Combine like terms: -7x + -10x = -17x 15 + -14x = 3 + -17x Solving 15 + -14x = 3 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 15 + -14x + 17x = 3 + -17x + 17x Combine like terms: -14x + 17x = 3x 15 + 3x = 3 + -17x + 17x Combine like terms: -17x + 17x = 0 15 + 3x = 3 + 0 15 + 3x = 3 Add '-15' to each side of the equation. 15 + -15 + 3x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 3 + -15 3x = 3 + -15 Combine like terms: 3 + -15 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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