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Simplifying 2x + 8 = 10 + -1(3 + -1x) Reorder the terms: 8 + 2x = 10 + -1(3 + -1x) 8 + 2x = 10 + (3 * -1 + -1x * -1) 8 + 2x = 10 + (-3 + 1x) Combine like terms: 10 + -3 = 7 8 + 2x = 7 + 1x Solving 8 + 2x = 7 + 1x 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. 8 + 2x + -1x = 7 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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