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Simplifying -1(1 + 4x) = -5x + -8 (1 * -1 + 4x * -1) = -5x + -8 (-1 + -4x) = -5x + -8 Reorder the terms: -1 + -4x = -8 + -5x Solving -1 + -4x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + -4x + 5x = -8 + -5x + 5x Combine like terms: -4x + 5x = 1x -1 + 1x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 1x = -8 + 0 -1 + 1x = -8 Add '1' to each side of the equation. -1 + 1 + 1x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -8 + 1 1x = -8 + 1 Combine like terms: -8 + 1 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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