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Simplifying 6 + -1(x + 1) = 2(2 + -1x) Reorder the terms: 6 + -1(1 + x) = 2(2 + -1x) 6 + (1 * -1 + x * -1) = 2(2 + -1x) 6 + (-1 + -1x) = 2(2 + -1x) Combine like terms: 6 + -1 = 5 5 + -1x = 2(2 + -1x) 5 + -1x = (2 * 2 + -1x * 2) 5 + -1x = (4 + -2x) Solving 5 + -1x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -1x + 2x = 4 + -2x + 2x Combine like terms: -1x + 2x = 1x 5 + 1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 1x = 4 + 0 5 + 1x = 4 Add '-5' to each side of the equation. 5 + -5 + 1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 4 + -5 1x = 4 + -5 Combine like terms: 4 + -5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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