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Simplifying 0.25(x + -2) = 3 + 2x Reorder the terms: 0.25(-2 + x) = 3 + 2x (-2 * 0.25 + x * 0.25) = 3 + 2x (-0.5 + 0.25x) = 3 + 2x Solving -0.5 + 0.25x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.5 + 0.25x + -2x = 3 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x -0.5 + -1.75x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.5 + -1.75x = 3 + 0 -0.5 + -1.75x = 3 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1.75x = 3 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.75x = 3 + 0.5 -1.75x = 3 + 0.5 Combine like terms: 3 + 0.5 = 3.5 -1.75x = 3.5 Divide each side by '-1.75'. x = -2 Simplifying x = -2
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