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Simplifying -1x + 23 = 2 + -2(x + -8) Reorder the terms: 23 + -1x = 2 + -2(x + -8) Reorder the terms: 23 + -1x = 2 + -2(-8 + x) 23 + -1x = 2 + (-8 * -2 + x * -2) 23 + -1x = 2 + (16 + -2x) Combine like terms: 2 + 16 = 18 23 + -1x = 18 + -2x Solving 23 + -1x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 23 + -1x + 2x = 18 + -2x + 2x Combine like terms: -1x + 2x = 1x 23 + 1x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 1x = 18 + 0 23 + 1x = 18 Add '-23' to each side of the equation. 23 + -23 + 1x = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 18 + -23 1x = 18 + -23 Combine like terms: 18 + -23 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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