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Simplifying -4(x + -1) = -2(4x + -1) + -1 Reorder the terms: -4(-1 + x) = -2(4x + -1) + -1 (-1 * -4 + x * -4) = -2(4x + -1) + -1 (4 + -4x) = -2(4x + -1) + -1 Reorder the terms: 4 + -4x = -2(-1 + 4x) + -1 4 + -4x = (-1 * -2 + 4x * -2) + -1 4 + -4x = (2 + -8x) + -1 Reorder the terms: 4 + -4x = 2 + -1 + -8x Combine like terms: 2 + -1 = 1 4 + -4x = 1 + -8x Solving 4 + -4x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + -4x + 8x = 1 + -8x + 8x Combine like terms: -4x + 8x = 4x 4 + 4x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 4x = 1 + 0 4 + 4x = 1 Add '-4' to each side of the equation. 4 + -4 + 4x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 1 + -4 4x = 1 + -4 Combine like terms: 1 + -4 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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