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Simplifying 0.125(3x + -2) = 0.25(x + 5) Reorder the terms: 0.125(-2 + 3x) = 0.25(x + 5) (-2 * 0.125 + 3x * 0.125) = 0.25(x + 5) (-0.25 + 0.375x) = 0.25(x + 5) Reorder the terms: -0.25 + 0.375x = 0.25(5 + x) -0.25 + 0.375x = (5 * 0.25 + x * 0.25) -0.25 + 0.375x = (1.25 + 0.25x) Solving -0.25 + 0.375x = 1.25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -0.25 + 0.375x + -0.25x = 1.25 + 0.25x + -0.25x Combine like terms: 0.375x + -0.25x = 0.125x -0.25 + 0.125x = 1.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.25 + 0.125x = 1.25 + 0.00 -0.25 + 0.125x = 1.25 Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.125x = 1.25 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.125x = 1.25 + 0.25 0.125x = 1.25 + 0.25 Combine like terms: 1.25 + 0.25 = 1.5 0.125x = 1.5 Divide each side by '0.125'. x = 12 Simplifying x = 12
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