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Simplifying 5x + -1(1 + -1x) = 3(x + -1) + 2 5x + (1 * -1 + -1x * -1) = 3(x + -1) + 2 5x + (-1 + 1x) = 3(x + -1) + 2 Reorder the terms: -1 + 5x + 1x = 3(x + -1) + 2 Combine like terms: 5x + 1x = 6x -1 + 6x = 3(x + -1) + 2 Reorder the terms: -1 + 6x = 3(-1 + x) + 2 -1 + 6x = (-1 * 3 + x * 3) + 2 -1 + 6x = (-3 + 3x) + 2 Reorder the terms: -1 + 6x = -3 + 2 + 3x Combine like terms: -3 + 2 = -1 -1 + 6x = -1 + 3x Add '1' to each side of the equation. -1 + 1 + 6x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 6x = -1 + 1 + 3x 6x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 6x = 0 + 3x 6x = 3x Solving 6x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 3x + -3x Combine like terms: 3x + -3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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