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Simplifying 2.5x + 15 = 0.5(x + 10) Reorder the terms: 15 + 2.5x = 0.5(x + 10) Reorder the terms: 15 + 2.5x = 0.5(10 + x) 15 + 2.5x = (10 * 0.5 + x * 0.5) 15 + 2.5x = (5 + 0.5x) Solving 15 + 2.5x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 15 + 2.5x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 15 + 2x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + 2x = 5 + 0.0 15 + 2x = 5 Add '-15' to each side of the equation. 15 + -15 + 2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 5 + -15 2x = 5 + -15 Combine like terms: 5 + -15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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