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Simplifying (x + 30) * 2.5 = 3x Reorder the terms: (30 + x) * 2.5 = 3x Reorder the terms for easier multiplication: 2.5(30 + x) = 3x (30 * 2.5 + x * 2.5) = 3x (75 + 2.5x) = 3x Solving 75 + 2.5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 75 + 2.5x + -3x = 3x + -3x Combine like terms: 2.5x + -3x = -0.5x 75 + -0.5x = 3x + -3x Combine like terms: 3x + -3x = 0 75 + -0.5x = 0 Add '-75' to each side of the equation. 75 + -75 + -0.5x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -0.5x = 0 + -75 -0.5x = 0 + -75 Combine like terms: 0 + -75 = -75 -0.5x = -75 Divide each side by '-0.5'. x = 150 Simplifying x = 150
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