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Simplifying 75 = (x * 0.5) + 3(x * 0.25) Reorder the terms for easier multiplication: 75 = (0.5x) + 3(x * 0.25) Reorder the terms for easier multiplication: 75 = (0.5x) + 3(0.25x) Remove parenthesis around (0.25x) 75 = (0.5x) + 3 * 0.25x Multiply 3 * 0.25 75 = (0.5x) + 0.75x Combine like terms: (0.5x) + 0.75x = 1.25x 75 = 1.25x Solving 75 = 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 75 + -1.25x = 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 75 + -1.25x = 0.00 Add '-75' to each side of the equation. 75 + -75 + -1.25x = 0.00 + -75 Combine like terms: 75 + -75 = 0 0 + -1.25x = 0.00 + -75 -1.25x = 0.00 + -75 Combine like terms: 0.00 + -75 = -75 -1.25x = -75 Divide each side by '-1.25'. x = 60 Simplifying x = 60
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