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Simplifying -0.17(x + -1) = 0.13(x + 0.25) Reorder the terms: -0.17(-1 + x) = 0.13(x + 0.25) (-1 * -0.17 + x * -0.17) = 0.13(x + 0.25) (0.17 + -0.17x) = 0.13(x + 0.25) Reorder the terms: 0.17 + -0.17x = 0.13(0.25 + x) 0.17 + -0.17x = (0.25 * 0.13 + x * 0.13) 0.17 + -0.17x = (0.0325 + 0.13x) Solving 0.17 + -0.17x = 0.0325 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 0.17 + -0.17x + -0.13x = 0.0325 + 0.13x + -0.13x Combine like terms: -0.17x + -0.13x = -0.3x 0.17 + -0.3x = 0.0325 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 0.17 + -0.3x = 0.0325 + 0.00 0.17 + -0.3x = 0.0325 Add '-0.17' to each side of the equation. 0.17 + -0.17 + -0.3x = 0.0325 + -0.17 Combine like terms: 0.17 + -0.17 = 0.00 0.00 + -0.3x = 0.0325 + -0.17 -0.3x = 0.0325 + -0.17 Combine like terms: 0.0325 + -0.17 = -0.1375 -0.3x = -0.1375 Divide each side by '-0.3'. x = 0.4583333333 Simplifying x = 0.4583333333
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