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Simplifying -1(4x + -5) + -1(9x + -5) + 7 = -6(x + -1) + -1(10x + 7) + 3 Reorder the terms: -1(-5 + 4x) + -1(9x + -5) + 7 = -6(x + -1) + -1(10x + 7) + 3 (-5 * -1 + 4x * -1) + -1(9x + -5) + 7 = -6(x + -1) + -1(10x + 7) + 3 (5 + -4x) + -1(9x + -5) + 7 = -6(x + -1) + -1(10x + 7) + 3 Reorder the terms: 5 + -4x + -1(-5 + 9x) + 7 = -6(x + -1) + -1(10x + 7) + 3 5 + -4x + (-5 * -1 + 9x * -1) + 7 = -6(x + -1) + -1(10x + 7) + 3 5 + -4x + (5 + -9x) + 7 = -6(x + -1) + -1(10x + 7) + 3 Reorder the terms: 5 + 5 + 7 + -4x + -9x = -6(x + -1) + -1(10x + 7) + 3 Combine like terms: 5 + 5 = 10 10 + 7 + -4x + -9x = -6(x + -1) + -1(10x + 7) + 3 Combine like terms: 10 + 7 = 17 17 + -4x + -9x = -6(x + -1) + -1(10x + 7) + 3 Combine like terms: -4x + -9x = -13x 17 + -13x = -6(x + -1) + -1(10x + 7) + 3 Reorder the terms: 17 + -13x = -6(-1 + x) + -1(10x + 7) + 3 17 + -13x = (-1 * -6 + x * -6) + -1(10x + 7) + 3 17 + -13x = (6 + -6x) + -1(10x + 7) + 3 Reorder the terms: 17 + -13x = 6 + -6x + -1(7 + 10x) + 3 17 + -13x = 6 + -6x + (7 * -1 + 10x * -1) + 3 17 + -13x = 6 + -6x + (-7 + -10x) + 3 Reorder the terms: 17 + -13x = 6 + -7 + 3 + -6x + -10x Combine like terms: 6 + -7 = -1 17 + -13x = -1 + 3 + -6x + -10x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -6x + -10x Combine like terms: -6x + -10x = -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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