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Simplifying x + 2 = 8 + -1(x + 6) Reorder the terms: 2 + x = 8 + -1(x + 6) Reorder the terms: 2 + x = 8 + -1(6 + x) 2 + x = 8 + (6 * -1 + x * -1) 2 + x = 8 + (-6 + -1x) Combine like terms: 8 + -6 = 2 2 + x = 2 + -1x Add '-2' to each side of the equation. 2 + -2 + x = 2 + -2 + -1x Combine like terms: 2 + -2 = 0 0 + x = 2 + -2 + -1x x = 2 + -2 + -1x Combine like terms: 2 + -2 = 0 x = 0 + -1x x = -1x Solving x = -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. x + x = -1x + x Combine like terms: x + x = 2x 2x = -1x + x Combine like terms: -1x + x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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