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Simplifying 15 = -6(2x + -3) + -5(-1 + -4x) Reorder the terms: 15 = -6(-3 + 2x) + -5(-1 + -4x) 15 = (-3 * -6 + 2x * -6) + -5(-1 + -4x) 15 = (18 + -12x) + -5(-1 + -4x) 15 = 18 + -12x + (-1 * -5 + -4x * -5) 15 = 18 + -12x + (5 + 20x) Reorder the terms: 15 = 18 + 5 + -12x + 20x Combine like terms: 18 + 5 = 23 15 = 23 + -12x + 20x Combine like terms: -12x + 20x = 8x 15 = 23 + 8x Solving 15 = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -8x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -8x = 23 + 0 15 + -8x = 23 Add '-15' to each side of the equation. 15 + -15 + -8x = 23 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 23 + -15 -8x = 23 + -15 Combine like terms: 23 + -15 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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