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Simplifying 0.5x + -2 + 0.25 = 0.25(x + -2) Reorder the terms: -2 + 0.25 + 0.5x = 0.25(x + -2) Combine like terms: -2 + 0.25 = -1.75 -1.75 + 0.5x = 0.25(x + -2) Reorder the terms: -1.75 + 0.5x = 0.25(-2 + x) -1.75 + 0.5x = (-2 * 0.25 + x * 0.25) -1.75 + 0.5x = (-0.5 + 0.25x) Solving -1.75 + 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. -1.75 + 0.5x + -0.25x = -0.5 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x -1.75 + 0.25x = -0.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1.75 + 0.25x = -0.5 + 0.00 -1.75 + 0.25x = -0.5 Add '1.75' to each side of the equation. -1.75 + 1.75 + 0.25x = -0.5 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 0.25x = -0.5 + 1.75 0.25x = -0.5 + 1.75 Combine like terms: -0.5 + 1.75 = 1.25 0.25x = 1.25 Divide each side by '0.25'. x = 5 Simplifying x = 5
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