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Simplifying 4.5x + 8.7 = 2.5(x + 6) Reorder the terms: 8.7 + 4.5x = 2.5(x + 6) Reorder the terms: 8.7 + 4.5x = 2.5(6 + x) 8.7 + 4.5x = (6 * 2.5 + x * 2.5) 8.7 + 4.5x = (15 + 2.5x) Solving 8.7 + 4.5x = 15 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 8.7 + 4.5x + -2.5x = 15 + 2.5x + -2.5x Combine like terms: 4.5x + -2.5x = 2x 8.7 + 2x = 15 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 8.7 + 2x = 15 + 0.0 8.7 + 2x = 15 Add '-8.7' to each side of the equation. 8.7 + -8.7 + 2x = 15 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + 2x = 15 + -8.7 2x = 15 + -8.7 Combine like terms: 15 + -8.7 = 6.3 2x = 6.3 Divide each side by '2'. x = 3.15 Simplifying x = 3.15
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