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Simplifying 13x + 10 = 0.5(17x + 17) Reorder the terms: 10 + 13x = 0.5(17x + 17) Reorder the terms: 10 + 13x = 0.5(17 + 17x) 10 + 13x = (17 * 0.5 + 17x * 0.5) 10 + 13x = (8.5 + 8.5x) Solving 10 + 13x = 8.5 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 10 + 13x + -8.5x = 8.5 + 8.5x + -8.5x Combine like terms: 13x + -8.5x = 4.5x 10 + 4.5x = 8.5 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 10 + 4.5x = 8.5 + 0.0 10 + 4.5x = 8.5 Add '-10' to each side of the equation. 10 + -10 + 4.5x = 8.5 + -10 Combine like terms: 10 + -10 = 0 0 + 4.5x = 8.5 + -10 4.5x = 8.5 + -10 Combine like terms: 8.5 + -10 = -1.5 4.5x = -1.5 Divide each side by '4.5'. x = -0.3333333333 Simplifying x = -0.3333333333
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