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Simplifying -0.75(x + -0.17) = 0.125(x + 0.75) Reorder the terms: -0.75(-0.17 + x) = 0.125(x + 0.75) (-0.17 * -0.75 + x * -0.75) = 0.125(x + 0.75) (0.1275 + -0.75x) = 0.125(x + 0.75) Reorder the terms: 0.1275 + -0.75x = 0.125(0.75 + x) 0.1275 + -0.75x = (0.75 * 0.125 + x * 0.125) 0.1275 + -0.75x = (0.09375 + 0.125x) Solving 0.1275 + -0.75x = 0.09375 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. 0.1275 + -0.75x + -0.125x = 0.09375 + 0.125x + -0.125x Combine like terms: -0.75x + -0.125x = -0.875x 0.1275 + -0.875x = 0.09375 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 0.1275 + -0.875x = 0.09375 + 0.000 0.1275 + -0.875x = 0.09375 Add '-0.1275' to each side of the equation. 0.1275 + -0.1275 + -0.875x = 0.09375 + -0.1275 Combine like terms: 0.1275 + -0.1275 = 0.0000 0.0000 + -0.875x = 0.09375 + -0.1275 -0.875x = 0.09375 + -0.1275 Combine like terms: 0.09375 + -0.1275 = -0.03375 -0.875x = -0.03375 Divide each side by '-0.875'. x = 0.03857142857 Simplifying x = 0.03857142857
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