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Simplifying 0.25x + 0.05(75 + -1x) = 12.35 0.25x + (75 * 0.05 + -1x * 0.05) = 12.35 0.25x + (3.75 + -0.05x) = 12.35 Reorder the terms: 3.75 + 0.25x + -0.05x = 12.35 Combine like terms: 0.25x + -0.05x = 0.2x 3.75 + 0.2x = 12.35 Solving 3.75 + 0.2x = 12.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + 0.2x = 12.35 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 0.2x = 12.35 + -3.75 0.2x = 12.35 + -3.75 Combine like terms: 12.35 + -3.75 = 8.6 0.2x = 8.6 Divide each side by '0.2'. x = 43 Simplifying x = 43
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