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Simplifying (x + 30) * 2.5 = x * 10 Reorder the terms: (30 + x) * 2.5 = x * 10 Reorder the terms for easier multiplication: 2.5(30 + x) = x * 10 (30 * 2.5 + x * 2.5) = x * 10 (75 + 2.5x) = x * 10 Reorder the terms for easier multiplication: 75 + 2.5x = 10x Solving 75 + 2.5x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 75 + 2.5x + -10x = 10x + -10x Combine like terms: 2.5x + -10x = -7.5x 75 + -7.5x = 10x + -10x Combine like terms: 10x + -10x = 0 75 + -7.5x = 0 Add '-75' to each side of the equation. 75 + -75 + -7.5x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -7.5x = 0 + -75 -7.5x = 0 + -75 Combine like terms: 0 + -75 = -75 -7.5x = -75 Divide each side by '-7.5'. x = 10 Simplifying x = 10
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