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Simplifying -1(2x + -4) + -1(12x + -6) + 5 = -15(x + -1) + -1(2x + 15) + 3 Reorder the terms: -1(-4 + 2x) + -1(12x + -6) + 5 = -15(x + -1) + -1(2x + 15) + 3 (-4 * -1 + 2x * -1) + -1(12x + -6) + 5 = -15(x + -1) + -1(2x + 15) + 3 (4 + -2x) + -1(12x + -6) + 5 = -15(x + -1) + -1(2x + 15) + 3 Reorder the terms: 4 + -2x + -1(-6 + 12x) + 5 = -15(x + -1) + -1(2x + 15) + 3 4 + -2x + (-6 * -1 + 12x * -1) + 5 = -15(x + -1) + -1(2x + 15) + 3 4 + -2x + (6 + -12x) + 5 = -15(x + -1) + -1(2x + 15) + 3 Reorder the terms: 4 + 6 + 5 + -2x + -12x = -15(x + -1) + -1(2x + 15) + 3 Combine like terms: 4 + 6 = 10 10 + 5 + -2x + -12x = -15(x + -1) + -1(2x + 15) + 3 Combine like terms: 10 + 5 = 15 15 + -2x + -12x = -15(x + -1) + -1(2x + 15) + 3 Combine like terms: -2x + -12x = -14x 15 + -14x = -15(x + -1) + -1(2x + 15) + 3 Reorder the terms: 15 + -14x = -15(-1 + x) + -1(2x + 15) + 3 15 + -14x = (-1 * -15 + x * -15) + -1(2x + 15) + 3 15 + -14x = (15 + -15x) + -1(2x + 15) + 3 Reorder the terms: 15 + -14x = 15 + -15x + -1(15 + 2x) + 3 15 + -14x = 15 + -15x + (15 * -1 + 2x * -1) + 3 15 + -14x = 15 + -15x + (-15 + -2x) + 3 Reorder the terms: 15 + -14x = 15 + -15 + 3 + -15x + -2x Combine like terms: 15 + -15 = 0 15 + -14x = 0 + 3 + -15x + -2x 15 + -14x = 3 + -15x + -2x Combine like terms: -15x + -2x = -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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