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Simplifying -1x + -1(1 + -1x) = -4x + 4(1 + -1x) -1x + (1 * -1 + -1x * -1) = -4x + 4(1 + -1x) -1x + (-1 + 1x) = -4x + 4(1 + -1x) Reorder the terms: -1 + -1x + 1x = -4x + 4(1 + -1x) Combine like terms: -1x + 1x = 0 -1 + 0 = -4x + 4(1 + -1x) -1 = -4x + 4(1 + -1x) -1 = -4x + (1 * 4 + -1x * 4) -1 = -4x + (4 + -4x) Reorder the terms: -1 = 4 + -4x + -4x Combine like terms: -4x + -4x = -8x -1 = 4 + -8x Solving -1 = 4 + -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. -1 + 8x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 8x = 4 + 0 -1 + 8x = 4 Add '1' to each side of the equation. -1 + 1 + 8x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 4 + 1 8x = 4 + 1 Combine like terms: 4 + 1 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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