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Simplifying 8 + x = 14 + -2(x + 12) Reorder the terms: 8 + x = 14 + -2(12 + x) 8 + x = 14 + (12 * -2 + x * -2) 8 + x = 14 + (-24 + -2x) Combine like terms: 14 + -24 = -10 8 + x = -10 + -2x Solving 8 + x = -10 + -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. 8 + x + 2x = -10 + -2x + 2x Combine like terms: x + 2x = 3x 8 + 3x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 3x = -10 + 0 8 + 3x = -10 Add '-8' to each side of the equation. 8 + -8 + 3x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -10 + -8 3x = -10 + -8 Combine like terms: -10 + -8 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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