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Simplifying -1(5x + -5) + -1(8x + -5) + 7 = -5(x + -1) + -1(12x + 6) + 3 Reorder the terms: -1(-5 + 5x) + -1(8x + -5) + 7 = -5(x + -1) + -1(12x + 6) + 3 (-5 * -1 + 5x * -1) + -1(8x + -5) + 7 = -5(x + -1) + -1(12x + 6) + 3 (5 + -5x) + -1(8x + -5) + 7 = -5(x + -1) + -1(12x + 6) + 3 Reorder the terms: 5 + -5x + -1(-5 + 8x) + 7 = -5(x + -1) + -1(12x + 6) + 3 5 + -5x + (-5 * -1 + 8x * -1) + 7 = -5(x + -1) + -1(12x + 6) + 3 5 + -5x + (5 + -8x) + 7 = -5(x + -1) + -1(12x + 6) + 3 Reorder the terms: 5 + 5 + 7 + -5x + -8x = -5(x + -1) + -1(12x + 6) + 3 Combine like terms: 5 + 5 = 10 10 + 7 + -5x + -8x = -5(x + -1) + -1(12x + 6) + 3 Combine like terms: 10 + 7 = 17 17 + -5x + -8x = -5(x + -1) + -1(12x + 6) + 3 Combine like terms: -5x + -8x = -13x 17 + -13x = -5(x + -1) + -1(12x + 6) + 3 Reorder the terms: 17 + -13x = -5(-1 + x) + -1(12x + 6) + 3 17 + -13x = (-1 * -5 + x * -5) + -1(12x + 6) + 3 17 + -13x = (5 + -5x) + -1(12x + 6) + 3 Reorder the terms: 17 + -13x = 5 + -5x + -1(6 + 12x) + 3 17 + -13x = 5 + -5x + (6 * -1 + 12x * -1) + 3 17 + -13x = 5 + -5x + (-6 + -12x) + 3 Reorder the terms: 17 + -13x = 5 + -6 + 3 + -5x + -12x Combine like terms: 5 + -6 = -1 17 + -13x = -1 + 3 + -5x + -12x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -5x + -12x Combine like terms: -5x + -12x = -17x 17 + -13x = 2 + -17x Solving 17 + -13x = 2 + -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. 17 + -13x + 17x = 2 + -17x + 17x Combine like terms: -13x + 17x = 4x 17 + 4x = 2 + -17x + 17x Combine like terms: -17x + 17x = 0 17 + 4x = 2 + 0 17 + 4x = 2 Add '-17' to each side of the equation. 17 + -17 + 4x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 2 + -17 4x = 2 + -17 Combine like terms: 2 + -17 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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