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Simplifying 10 + -1x = 18 + -2(x + -8) Reorder the terms: 10 + -1x = 18 + -2(-8 + x) 10 + -1x = 18 + (-8 * -2 + x * -2) 10 + -1x = 18 + (16 + -2x) Combine like terms: 18 + 16 = 34 10 + -1x = 34 + -2x Solving 10 + -1x = 34 + -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. 10 + -1x + 2x = 34 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = 34 + 0 10 + 1x = 34 Add '-10' to each side of the equation. 10 + -10 + 1x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 34 + -10 1x = 34 + -10 Combine like terms: 34 + -10 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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