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Simplifying 13x + 10 = 0.5(15 + 5x) Reorder the terms: 10 + 13x = 0.5(15 + 5x) 10 + 13x = (15 * 0.5 + 5x * 0.5) 10 + 13x = (7.5 + 2.5x) Solving 10 + 13x = 7.5 + 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. 10 + 13x + -2.5x = 7.5 + 2.5x + -2.5x Combine like terms: 13x + -2.5x = 10.5x 10 + 10.5x = 7.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 10 + 10.5x = 7.5 + 0.0 10 + 10.5x = 7.5 Add '-10' to each side of the equation. 10 + -10 + 10.5x = 7.5 + -10 Combine like terms: 10 + -10 = 0 0 + 10.5x = 7.5 + -10 10.5x = 7.5 + -10 Combine like terms: 7.5 + -10 = -2.5 10.5x = -2.5 Divide each side by '10.5'. x = -0.2380952381 Simplifying x = -0.2380952381
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