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Simplifying 25(2x + -5) = 10(4x + 1) + 10 Reorder the terms: 25(-5 + 2x) = 10(4x + 1) + 10 (-5 * 25 + 2x * 25) = 10(4x + 1) + 10 (-125 + 50x) = 10(4x + 1) + 10 Reorder the terms: -125 + 50x = 10(1 + 4x) + 10 -125 + 50x = (1 * 10 + 4x * 10) + 10 -125 + 50x = (10 + 40x) + 10 Reorder the terms: -125 + 50x = 10 + 10 + 40x Combine like terms: 10 + 10 = 20 -125 + 50x = 20 + 40x Solving -125 + 50x = 20 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -125 + 50x + -40x = 20 + 40x + -40x Combine like terms: 50x + -40x = 10x -125 + 10x = 20 + 40x + -40x Combine like terms: 40x + -40x = 0 -125 + 10x = 20 + 0 -125 + 10x = 20 Add '125' to each side of the equation. -125 + 125 + 10x = 20 + 125 Combine like terms: -125 + 125 = 0 0 + 10x = 20 + 125 10x = 20 + 125 Combine like terms: 20 + 125 = 145 10x = 145 Divide each side by '10'. x = 14.5 Simplifying x = 14.5
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