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Simplifying 5(2x + 1) = -4(4x + -5) Reorder the terms: 5(1 + 2x) = -4(4x + -5) (1 * 5 + 2x * 5) = -4(4x + -5) (5 + 10x) = -4(4x + -5) Reorder the terms: 5 + 10x = -4(-5 + 4x) 5 + 10x = (-5 * -4 + 4x * -4) 5 + 10x = (20 + -16x) Solving 5 + 10x = 20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 5 + 10x + 16x = 20 + -16x + 16x Combine like terms: 10x + 16x = 26x 5 + 26x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 5 + 26x = 20 + 0 5 + 26x = 20 Add '-5' to each side of the equation. 5 + -5 + 26x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 26x = 20 + -5 26x = 20 + -5 Combine like terms: 20 + -5 = 15 26x = 15 Divide each side by '26'. x = 0.5769230769 Simplifying x = 0.5769230769
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