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Simplifying 0.5(x + -1) + 2 = 0.25x Reorder the terms: 0.5(-1 + x) + 2 = 0.25x (-1 * 0.5 + x * 0.5) + 2 = 0.25x (-0.5 + 0.5x) + 2 = 0.25x Reorder the terms: -0.5 + 2 + 0.5x = 0.25x Combine like terms: -0.5 + 2 = 1.5 1.5 + 0.5x = 0.25x Solving 1.5 + 0.5x = 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.5 + 0.5x + -0.25x = 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 1.5 + 0.25x = 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.5 + 0.25x = 0.00 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.25x = 0.00 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25x = 0.00 + -1.5 0.25x = 0.00 + -1.5 Combine like terms: 0.00 + -1.5 = -1.5 0.25x = -1.5 Divide each side by '0.25'. x = -6 Simplifying x = -6
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