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Simplifying x + 0.75x + 0.25 = -0.125(x + -0.33) Reorder the terms: 0.25 + x + 0.75x = -0.125(x + -0.33) Combine like terms: x + 0.75x = 1.75x 0.25 + 1.75x = -0.125(x + -0.33) Reorder the terms: 0.25 + 1.75x = -0.125(-0.33 + x) 0.25 + 1.75x = (-0.33 * -0.125 + x * -0.125) 0.25 + 1.75x = (0.04125 + -0.125x) Solving 0.25 + 1.75x = 0.04125 + -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. 0.25 + 1.75x + 0.125x = 0.04125 + -0.125x + 0.125x Combine like terms: 1.75x + 0.125x = 1.875x 0.25 + 1.875x = 0.04125 + -0.125x + 0.125x Combine like terms: -0.125x + 0.125x = 0.000 0.25 + 1.875x = 0.04125 + 0.000 0.25 + 1.875x = 0.04125 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 1.875x = 0.04125 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 1.875x = 0.04125 + -0.25 1.875x = 0.04125 + -0.25 Combine like terms: 0.04125 + -0.25 = -0.20875 1.875x = -0.20875 Divide each side by '1.875'. x = -0.1113333333 Simplifying x = -0.1113333333
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