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Simplifying 2.5(x + 6) = 75x Reorder the terms: 2.5(6 + x) = 75x (6 * 2.5 + x * 2.5) = 75x (15 + 2.5x) = 75x Solving 15 + 2.5x = 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. 15 + 2.5x + -75x = 75x + -75x Combine like terms: 2.5x + -75x = -72.5x 15 + -72.5x = 75x + -75x Combine like terms: 75x + -75x = 0 15 + -72.5x = 0 Add '-15' to each side of the equation. 15 + -15 + -72.5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -72.5x = 0 + -15 -72.5x = 0 + -15 Combine like terms: 0 + -15 = -15 -72.5x = -15 Divide each side by '-72.5'. x = 0.2068965517 Simplifying x = 0.2068965517
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