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Simplifying 7.5x + 72 = 2.5(5x + 12) + 3x Reorder the terms: 72 + 7.5x = 2.5(5x + 12) + 3x Reorder the terms: 72 + 7.5x = 2.5(12 + 5x) + 3x 72 + 7.5x = (12 * 2.5 + 5x * 2.5) + 3x 72 + 7.5x = (30 + 12.5x) + 3x Combine like terms: 12.5x + 3x = 15.5x 72 + 7.5x = 30 + 15.5x Solving 72 + 7.5x = 30 + 15.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5x' to each side of the equation. 72 + 7.5x + -15.5x = 30 + 15.5x + -15.5x Combine like terms: 7.5x + -15.5x = -8x 72 + -8x = 30 + 15.5x + -15.5x Combine like terms: 15.5x + -15.5x = 0.0 72 + -8x = 30 + 0.0 72 + -8x = 30 Add '-72' to each side of the equation. 72 + -72 + -8x = 30 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = 30 + -72 -8x = 30 + -72 Combine like terms: 30 + -72 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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