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Simplifying 15 = -2(-8x + -1) + 3(4 + -5x) Reorder the terms: 15 = -2(-1 + -8x) + 3(4 + -5x) 15 = (-1 * -2 + -8x * -2) + 3(4 + -5x) 15 = (2 + 16x) + 3(4 + -5x) 15 = 2 + 16x + (4 * 3 + -5x * 3) 15 = 2 + 16x + (12 + -15x) Reorder the terms: 15 = 2 + 12 + 16x + -15x Combine like terms: 2 + 12 = 14 15 = 14 + 16x + -15x Combine like terms: 16x + -15x = 1x 15 = 14 + 1x Solving 15 = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -1x = 14 + 0 15 + -1x = 14 Add '-15' to each side of the equation. 15 + -15 + -1x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 14 + -15 -1x = 14 + -15 Combine like terms: 14 + -15 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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