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Simplifying 50(x + 1.5) = 80x Reorder the terms: 50(1.5 + x) = 80x (1.5 * 50 + x * 50) = 80x (75 + 50x) = 80x Solving 75 + 50x = 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 75 + 50x + -80x = 80x + -80x Combine like terms: 50x + -80x = -30x 75 + -30x = 80x + -80x Combine like terms: 80x + -80x = 0 75 + -30x = 0 Add '-75' to each side of the equation. 75 + -75 + -30x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -30x = 0 + -75 -30x = 0 + -75 Combine like terms: 0 + -75 = -75 -30x = -75 Divide each side by '-30'. x = 2.5 Simplifying x = 2.5
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