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Simplifying 0.5(2x + -1) + 0.75(x + -2) = 4 Reorder the terms: 0.5(-1 + 2x) + 0.75(x + -2) = 4 (-1 * 0.5 + 2x * 0.5) + 0.75(x + -2) = 4 (-0.5 + 1x) + 0.75(x + -2) = 4 Reorder the terms: -0.5 + 1x + 0.75(-2 + x) = 4 -0.5 + 1x + (-2 * 0.75 + x * 0.75) = 4 -0.5 + 1x + (-1.5 + 0.75x) = 4 Reorder the terms: -0.5 + -1.5 + 1x + 0.75x = 4 Combine like terms: -0.5 + -1.5 = -2 -2 + 1x + 0.75x = 4 Combine like terms: 1x + 0.75x = 1.75x -2 + 1.75x = 4 Solving -2 + 1.75x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1.75x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75x = 4 + 2 1.75x = 4 + 2 Combine like terms: 4 + 2 = 6 1.75x = 6 Divide each side by '1.75'. x = 3.428571429 Simplifying x = 3.428571429
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