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Simplifying (x + 3) * 5 = 7.5x Reorder the terms: (3 + x) * 5 = 7.5x Reorder the terms for easier multiplication: 5(3 + x) = 7.5x (3 * 5 + x * 5) = 7.5x (15 + 5x) = 7.5x Solving 15 + 5x = 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 15 + 5x + -7.5x = 7.5x + -7.5x Combine like terms: 5x + -7.5x = -2.5x 15 + -2.5x = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 15 + -2.5x = 0.0 Add '-15' to each side of the equation. 15 + -15 + -2.5x = 0.0 + -15 Combine like terms: 15 + -15 = 0 0 + -2.5x = 0.0 + -15 -2.5x = 0.0 + -15 Combine like terms: 0.0 + -15 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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