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Simplifying 25(2x + 4) = (10x + 150) Reorder the terms: 25(4 + 2x) = (10x + 150) (4 * 25 + 2x * 25) = (10x + 150) (100 + 50x) = (10x + 150) Reorder the terms: 100 + 50x = (150 + 10x) Remove parenthesis around (150 + 10x) 100 + 50x = 150 + 10x Solving 100 + 50x = 150 + 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. 100 + 50x + -10x = 150 + 10x + -10x Combine like terms: 50x + -10x = 40x 100 + 40x = 150 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + 40x = 150 + 0 100 + 40x = 150 Add '-100' to each side of the equation. 100 + -100 + 40x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 40x = 150 + -100 40x = 150 + -100 Combine like terms: 150 + -100 = 50 40x = 50 Divide each side by '40'. x = 1.25 Simplifying x = 1.25
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