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Simplifying 5x + 15 = 2.5(3x + 4) Reorder the terms: 15 + 5x = 2.5(3x + 4) Reorder the terms: 15 + 5x = 2.5(4 + 3x) 15 + 5x = (4 * 2.5 + 3x * 2.5) 15 + 5x = (10 + 7.5x) Solving 15 + 5x = 10 + 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 = 10 + 7.5x + -7.5x Combine like terms: 5x + -7.5x = -2.5x 15 + -2.5x = 10 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 15 + -2.5x = 10 + 0.0 15 + -2.5x = 10 Add '-15' to each side of the equation. 15 + -15 + -2.5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -2.5x = 10 + -15 -2.5x = 10 + -15 Combine like terms: 10 + -15 = -5 -2.5x = -5 Divide each side by '-2.5'. x = 2 Simplifying x = 2
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