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Simplifying -1(12x + -7) + 13 = -1(15x + -23) Reorder the terms: -1(-7 + 12x) + 13 = -1(15x + -23) (-7 * -1 + 12x * -1) + 13 = -1(15x + -23) (7 + -12x) + 13 = -1(15x + -23) Reorder the terms: 7 + 13 + -12x = -1(15x + -23) Combine like terms: 7 + 13 = 20 20 + -12x = -1(15x + -23) Reorder the terms: 20 + -12x = -1(-23 + 15x) 20 + -12x = (-23 * -1 + 15x * -1) 20 + -12x = (23 + -15x) Solving 20 + -12x = 23 + -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. 20 + -12x + 15x = 23 + -15x + 15x Combine like terms: -12x + 15x = 3x 20 + 3x = 23 + -15x + 15x Combine like terms: -15x + 15x = 0 20 + 3x = 23 + 0 20 + 3x = 23 Add '-20' to each side of the equation. 20 + -20 + 3x = 23 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 23 + -20 3x = 23 + -20 Combine like terms: 23 + -20 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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