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Simplifying 0.5(x + 2) = 0.25(x + -2) Reorder the terms: 0.5(2 + x) = 0.25(x + -2) (2 * 0.5 + x * 0.5) = 0.25(x + -2) (1 + 0.5x) = 0.25(x + -2) Reorder the terms: 1 + 0.5x = 0.25(-2 + x) 1 + 0.5x = (-2 * 0.25 + x * 0.25) 1 + 0.5x = (-0.5 + 0.25x) Solving 1 + 0.5x = -0.5 + 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 + 0.5x + -0.25x = -0.5 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 1 + 0.25x = -0.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1 + 0.25x = -0.5 + 0.00 1 + 0.25x = -0.5 Add '-1' to each side of the equation. 1 + -1 + 0.25x = -0.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x = -0.5 + -1 0.25x = -0.5 + -1 Combine like terms: -0.5 + -1 = -1.5 0.25x = -1.5 Divide each side by '0.25'. x = -6 Simplifying x = -6
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