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Simplifying 8 + -1(3 + -2x) = 4 + (x + 2) 8 + (3 * -1 + -2x * -1) = 4 + (x + 2) 8 + (-3 + 2x) = 4 + (x + 2) Combine like terms: 8 + -3 = 5 5 + 2x = 4 + (x + 2) Reorder the terms: 5 + 2x = 4 + (2 + x) Remove parenthesis around (2 + x) 5 + 2x = 4 + 2 + x Combine like terms: 4 + 2 = 6 5 + 2x = 6 + x Solving 5 + 2x = 6 + 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. 5 + 2x + -1x = 6 + x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 6 + x + -1x Combine like terms: x + -1x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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