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Simplifying 0.11(x + -0.5) = -0.17(x + 0.125) Reorder the terms: 0.11(-0.5 + x) = -0.17(x + 0.125) (-0.5 * 0.11 + x * 0.11) = -0.17(x + 0.125) (-0.055 + 0.11x) = -0.17(x + 0.125) Reorder the terms: -0.055 + 0.11x = -0.17(0.125 + x) -0.055 + 0.11x = (0.125 * -0.17 + x * -0.17) -0.055 + 0.11x = (-0.02125 + -0.17x) Solving -0.055 + 0.11x = -0.02125 + -0.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.17x' to each side of the equation. -0.055 + 0.11x + 0.17x = -0.02125 + -0.17x + 0.17x Combine like terms: 0.11x + 0.17x = 0.28x -0.055 + 0.28x = -0.02125 + -0.17x + 0.17x Combine like terms: -0.17x + 0.17x = 0.00 -0.055 + 0.28x = -0.02125 + 0.00 -0.055 + 0.28x = -0.02125 Add '0.055' to each side of the equation. -0.055 + 0.055 + 0.28x = -0.02125 + 0.055 Combine like terms: -0.055 + 0.055 = 0.000 0.000 + 0.28x = -0.02125 + 0.055 0.28x = -0.02125 + 0.055 Combine like terms: -0.02125 + 0.055 = 0.03375 0.28x = 0.03375 Divide each side by '0.28'. x = 0.1205357143 Simplifying x = 0.1205357143
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