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Simplifying 0.25(8x + -4) = 2 + 8 + -2x Reorder the terms: 0.25(-4 + 8x) = 2 + 8 + -2x (-4 * 0.25 + 8x * 0.25) = 2 + 8 + -2x (-1 + 2x) = 2 + 8 + -2x Combine like terms: 2 + 8 = 10 -1 + 2x = 10 + -2x Solving -1 + 2x = 10 + -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. -1 + 2x + 2x = 10 + -2x + 2x Combine like terms: 2x + 2x = 4x -1 + 4x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 4x = 10 + 0 -1 + 4x = 10 Add '1' to each side of the equation. -1 + 1 + 4x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 10 + 1 4x = 10 + 1 Combine like terms: 10 + 1 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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