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Simplifying 0.5(2x + -1) + 0.25(x + -2) = 4 Reorder the terms: 0.5(-1 + 2x) + 0.25(x + -2) = 4 (-1 * 0.5 + 2x * 0.5) + 0.25(x + -2) = 4 (-0.5 + 1x) + 0.25(x + -2) = 4 Reorder the terms: -0.5 + 1x + 0.25(-2 + x) = 4 -0.5 + 1x + (-2 * 0.25 + x * 0.25) = 4 -0.5 + 1x + (-0.5 + 0.25x) = 4 Reorder the terms: -0.5 + -0.5 + 1x + 0.25x = 4 Combine like terms: -0.5 + -0.5 = -1 -1 + 1x + 0.25x = 4 Combine like terms: 1x + 0.25x = 1.25x -1 + 1.25x = 4 Solving -1 + 1.25x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1.25x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1.25x = 4 + 1 1.25x = 4 + 1 Combine like terms: 4 + 1 = 5 1.25x = 5 Divide each side by '1.25'. x = 4 Simplifying x = 4
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