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Simplifying 0.2(0.25x + -0.4) = -0.25x + 0.24 Reorder the terms: 0.2(-0.4 + 0.25x) = -0.25x + 0.24 (-0.4 * 0.2 + 0.25x * 0.2) = -0.25x + 0.24 (-0.08 + 0.05x) = -0.25x + 0.24 Reorder the terms: -0.08 + 0.05x = 0.24 + -0.25x Solving -0.08 + 0.05x = 0.24 + -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. -0.08 + 0.05x + 0.25x = 0.24 + -0.25x + 0.25x Combine like terms: 0.05x + 0.25x = 0.3x -0.08 + 0.3x = 0.24 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -0.08 + 0.3x = 0.24 + 0.00 -0.08 + 0.3x = 0.24 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.3x = 0.24 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.3x = 0.24 + 0.08 0.3x = 0.24 + 0.08 Combine like terms: 0.24 + 0.08 = 0.32 0.3x = 0.32 Divide each side by '0.3'. x = 1.066666667 Simplifying x = 1.066666667
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