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Simplifying 60(x + 0.5) = 75x Reorder the terms: 60(0.5 + x) = 75x (0.5 * 60 + x * 60) = 75x (30 + 60x) = 75x Solving 30 + 60x = 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 30 + 60x + -75x = 75x + -75x Combine like terms: 60x + -75x = -15x 30 + -15x = 75x + -75x Combine like terms: 75x + -75x = 0 30 + -15x = 0 Add '-30' to each side of the equation. 30 + -30 + -15x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 0 + -30 -15x = 0 + -30 Combine like terms: 0 + -30 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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