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