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Simplifying 4(2x + -1) = 1 + -2x Reorder the terms: 4(-1 + 2x) = 1 + -2x (-1 * 4 + 2x * 4) = 1 + -2x (-4 + 8x) = 1 + -2x Solving -4 + 8x = 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. -4 + 8x + 2x = 1 + -2x + 2x Combine like terms: 8x + 2x = 10x -4 + 10x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 10x = 1 + 0 -4 + 10x = 1 Add '4' to each side of the equation. -4 + 4 + 10x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 1 + 4 10x = 1 + 4 Combine like terms: 1 + 4 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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