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Simplifying 0.125(x + -0.125) = 0.5(x + -0.75) Reorder the terms: 0.125(-0.125 + x) = 0.5(x + -0.75) (-0.125 * 0.125 + x * 0.125) = 0.5(x + -0.75) (-0.015625 + 0.125x) = 0.5(x + -0.75) Reorder the terms: -0.015625 + 0.125x = 0.5(-0.75 + x) -0.015625 + 0.125x = (-0.75 * 0.5 + x * 0.5) -0.015625 + 0.125x = (-0.375 + 0.5x) Solving -0.015625 + 0.125x = -0.375 + 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. -0.015625 + 0.125x + -0.5x = -0.375 + 0.5x + -0.5x Combine like terms: 0.125x + -0.5x = -0.375x -0.015625 + -0.375x = -0.375 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.015625 + -0.375x = -0.375 + 0.0 -0.015625 + -0.375x = -0.375 Add '0.015625' to each side of the equation. -0.015625 + 0.015625 + -0.375x = -0.375 + 0.015625 Combine like terms: -0.015625 + 0.015625 = 0.000000 0.000000 + -0.375x = -0.375 + 0.015625 -0.375x = -0.375 + 0.015625 Combine like terms: -0.375 + 0.015625 = -0.359375 -0.375x = -0.359375 Divide each side by '-0.375'. x = 0.9583333333 Simplifying x = 0.9583333333
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