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Simplifying 0.5(2 + -1x) + -0.25(3 + -4x) = 2 (2 * 0.5 + -1x * 0.5) + -0.25(3 + -4x) = 2 (1 + -0.5x) + -0.25(3 + -4x) = 2 1 + -0.5x + (3 * -0.25 + -4x * -0.25) = 2 1 + -0.5x + (-0.75 + 1x) = 2 Reorder the terms: 1 + -0.75 + -0.5x + 1x = 2 Combine like terms: 1 + -0.75 = 0.25 0.25 + -0.5x + 1x = 2 Combine like terms: -0.5x + 1x = 0.5x 0.25 + 0.5x = 2 Solving 0.25 + 0.5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.5x = 2 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.5x = 2 + -0.25 0.5x = 2 + -0.25 Combine like terms: 2 + -0.25 = 1.75 0.5x = 1.75 Divide each side by '0.5'. x = 3.5 Simplifying x = 3.5
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