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Simplifying 0.5(x + -4) + 0.25(20 + -1x) = 0 Reorder the terms: 0.5(-4 + x) + 0.25(20 + -1x) = 0 (-4 * 0.5 + x * 0.5) + 0.25(20 + -1x) = 0 (-2 + 0.5x) + 0.25(20 + -1x) = 0 -2 + 0.5x + (20 * 0.25 + -1x * 0.25) = 0 -2 + 0.5x + (5 + -0.25x) = 0 Reorder the terms: -2 + 5 + 0.5x + -0.25x = 0 Combine like terms: -2 + 5 = 3 3 + 0.5x + -0.25x = 0 Combine like terms: 0.5x + -0.25x = 0.25x 3 + 0.25x = 0 Solving 3 + 0.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.25x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.25x = 0 + -3 0.25x = 0 + -3 Combine like terms: 0 + -3 = -3 0.25x = -3 Divide each side by '0.25'. x = -12 Simplifying x = -12
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