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Simplifying 5(x + -1) = 1 + -1(1 + x) Reorder the terms: 5(-1 + x) = 1 + -1(1 + x) (-1 * 5 + x * 5) = 1 + -1(1 + x) (-5 + 5x) = 1 + -1(1 + x) -5 + 5x = 1 + (1 * -1 + x * -1) -5 + 5x = 1 + (-1 + -1x) Combine like terms: 1 + -1 = 0 -5 + 5x = 0 + -1x -5 + 5x = -1x Solving -5 + 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 5x + x = -1x + x Combine like terms: 5x + x = 6x -5 + 6x = -1x + x Combine like terms: -1x + x = 0 -5 + 6x = 0 Add '5' to each side of the equation. -5 + 5 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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