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Simplifying 0.125(x + -2) = 128(1 + -1x) Reorder the terms: 0.125(-2 + x) = 128(1 + -1x) (-2 * 0.125 + x * 0.125) = 128(1 + -1x) (-0.25 + 0.125x) = 128(1 + -1x) -0.25 + 0.125x = (1 * 128 + -1x * 128) -0.25 + 0.125x = (128 + -128x) Solving -0.25 + 0.125x = 128 + -128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '128x' to each side of the equation. -0.25 + 0.125x + 128x = 128 + -128x + 128x Combine like terms: 0.125x + 128x = 128.125x -0.25 + 128.125x = 128 + -128x + 128x Combine like terms: -128x + 128x = 0 -0.25 + 128.125x = 128 + 0 -0.25 + 128.125x = 128 Add '0.25' to each side of the equation. -0.25 + 0.25 + 128.125x = 128 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 128.125x = 128 + 0.25 128.125x = 128 + 0.25 Combine like terms: 128 + 0.25 = 128.25 128.125x = 128.25 Divide each side by '128.125'. x = 1.00097561 Simplifying x = 1.00097561
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