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Simplifying 5(2x + -1) + 8 = 10(5x + -2) Reorder the terms: 5(-1 + 2x) + 8 = 10(5x + -2) (-1 * 5 + 2x * 5) + 8 = 10(5x + -2) (-5 + 10x) + 8 = 10(5x + -2) Reorder the terms: -5 + 8 + 10x = 10(5x + -2) Combine like terms: -5 + 8 = 3 3 + 10x = 10(5x + -2) Reorder the terms: 3 + 10x = 10(-2 + 5x) 3 + 10x = (-2 * 10 + 5x * 10) 3 + 10x = (-20 + 50x) Solving 3 + 10x = -20 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 3 + 10x + -50x = -20 + 50x + -50x Combine like terms: 10x + -50x = -40x 3 + -40x = -20 + 50x + -50x Combine like terms: 50x + -50x = 0 3 + -40x = -20 + 0 3 + -40x = -20 Add '-3' to each side of the equation. 3 + -3 + -40x = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -40x = -20 + -3 -40x = -20 + -3 Combine like terms: -20 + -3 = -23 -40x = -23 Divide each side by '-40'. x = 0.575 Simplifying x = 0.575
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