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Simplifying 0.25(x + -2) = 0.5(5 + -1a) Reorder the terms: 0.25(-2 + x) = 0.5(5 + -1a) (-2 * 0.25 + x * 0.25) = 0.5(5 + -1a) (-0.5 + 0.25x) = 0.5(5 + -1a) -0.5 + 0.25x = (5 * 0.5 + -1a * 0.5) -0.5 + 0.25x = (2.5 + -0.5a) Solving -0.5 + 0.25x = 2.5 + -0.5a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.25x = 2.5 + 0.5 + -0.5a Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.25x = 2.5 + 0.5 + -0.5a 0.25x = 2.5 + 0.5 + -0.5a Combine like terms: 2.5 + 0.5 = 3 0.25x = 3 + -0.5a Divide each side by '0.25'. x = 12 + -2a Simplifying x = 12 + -2a
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