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Simplifying 6 + -2(x + 2) = 8 + x Reorder the terms: 6 + -2(2 + x) = 8 + x 6 + (2 * -2 + x * -2) = 8 + x 6 + (-4 + -2x) = 8 + x Combine like terms: 6 + -4 = 2 2 + -2x = 8 + x Solving 2 + -2x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -2x + -1x = 8 + x + -1x Combine like terms: -2x + -1x = -3x 2 + -3x = 8 + x + -1x Combine like terms: x + -1x = 0 2 + -3x = 8 + 0 2 + -3x = 8 Add '-2' to each side of the equation. 2 + -2 + -3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 8 + -2 -3x = 8 + -2 Combine like terms: 8 + -2 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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