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Simplifying 6 + -2(x + -2) = 4 + -1(2 + x) Reorder the terms: 6 + -2(-2 + x) = 4 + -1(2 + x) 6 + (-2 * -2 + x * -2) = 4 + -1(2 + x) 6 + (4 + -2x) = 4 + -1(2 + x) Combine like terms: 6 + 4 = 10 10 + -2x = 4 + -1(2 + x) 10 + -2x = 4 + (2 * -1 + x * -1) 10 + -2x = 4 + (-2 + -1x) Combine like terms: 4 + -2 = 2 10 + -2x = 2 + -1x Solving 10 + -2x = 2 + -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. 10 + -2x + x = 2 + -1x + x Combine like terms: -2x + x = -1x 10 + -1x = 2 + -1x + x Combine like terms: -1x + x = 0 10 + -1x = 2 + 0 10 + -1x = 2 Add '-10' to each side of the equation. 10 + -10 + -1x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 2 + -10 -1x = 2 + -10 Combine like terms: 2 + -10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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