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Simplifying 2(5 + -8x) + -5 = 5(2x + 1) (5 * 2 + -8x * 2) + -5 = 5(2x + 1) (10 + -16x) + -5 = 5(2x + 1) Reorder the terms: 10 + -5 + -16x = 5(2x + 1) Combine like terms: 10 + -5 = 5 5 + -16x = 5(2x + 1) Reorder the terms: 5 + -16x = 5(1 + 2x) 5 + -16x = (1 * 5 + 2x * 5) 5 + -16x = (5 + 10x) Add '-5' to each side of the equation. 5 + -5 + -16x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + -16x = 5 + -5 + 10x -16x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 -16x = 0 + 10x -16x = 10x Solving -16x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16x + -10x = 10x + -10x Combine like terms: -16x + -10x = -26x -26x = 10x + -10x Combine like terms: 10x + -10x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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