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Simplifying 0.75x + 0.25(15 + -1x) = 0.35(15) 0.75x + (15 * 0.25 + -1x * 0.25) = 0.35(15) 0.75x + (3.75 + -0.25x) = 0.35(15) Reorder the terms: 3.75 + 0.75x + -0.25x = 0.35(15) Combine like terms: 0.75x + -0.25x = 0.5x 3.75 + 0.5x = 0.35(15) Multiply 0.35 * 15 3.75 + 0.5x = 5.25 Solving 3.75 + 0.5x = 5.25 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 + 0.5x = 5.25 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 0.5x = 5.25 + -3.75 0.5x = 5.25 + -3.75 Combine like terms: 5.25 + -3.75 = 1.5 0.5x = 1.5 Divide each side by '0.5'. x = 3 Simplifying x = 3
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