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Simplifying 0.25(8x + -20) = 1 + -2x Reorder the terms: 0.25(-20 + 8x) = 1 + -2x (-20 * 0.25 + 8x * 0.25) = 1 + -2x (-5 + 2x) = 1 + -2x Solving -5 + 2x = 1 + -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. -5 + 2x + 2x = 1 + -2x + 2x Combine like terms: 2x + 2x = 4x -5 + 4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 4x = 1 + 0 -5 + 4x = 1 Add '5' to each side of the equation. -5 + 5 + 4x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 1 + 5 4x = 1 + 5 Combine like terms: 1 + 5 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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