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Simplifying 0.5x + 2(0.75x + -1) = 0.25 + 6 Reorder the terms: 0.5x + 2(-1 + 0.75x) = 0.25 + 6 0.5x + (-1 * 2 + 0.75x * 2) = 0.25 + 6 0.5x + (-2 + 1.5x) = 0.25 + 6 Reorder the terms: -2 + 0.5x + 1.5x = 0.25 + 6 Combine like terms: 0.5x + 1.5x = 2x -2 + 2x = 0.25 + 6 Combine like terms: 0.25 + 6 = 6.25 -2 + 2x = 6.25 Solving -2 + 2x = 6.25 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 + 2x = 6.25 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6.25 + 2 2x = 6.25 + 2 Combine like terms: 6.25 + 2 = 8.25 2x = 8.25 Divide each side by '2'. x = 4.125 Simplifying x = 4.125
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