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Simplifying 0.125(x + -5) = 0.25x + -2.125 Reorder the terms: 0.125(-5 + x) = 0.25x + -2.125 (-5 * 0.125 + x * 0.125) = 0.25x + -2.125 (-0.625 + 0.125x) = 0.25x + -2.125 Reorder the terms: -0.625 + 0.125x = -2.125 + 0.25x Solving -0.625 + 0.125x = -2.125 + 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. -0.625 + 0.125x + -0.25x = -2.125 + 0.25x + -0.25x Combine like terms: 0.125x + -0.25x = -0.125x -0.625 + -0.125x = -2.125 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.625 + -0.125x = -2.125 + 0.00 -0.625 + -0.125x = -2.125 Add '0.625' to each side of the equation. -0.625 + 0.625 + -0.125x = -2.125 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + -0.125x = -2.125 + 0.625 -0.125x = -2.125 + 0.625 Combine like terms: -2.125 + 0.625 = -1.5 -0.125x = -1.5 Divide each side by '-0.125'. x = 12 Simplifying x = 12
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