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Simplifying -12 + 34 = -2(x + 4) Combine like terms: -12 + 34 = 22 22 = -2(x + 4) Reorder the terms: 22 = -2(4 + x) 22 = (4 * -2 + x * -2) 22 = (-8 + -2x) Solving 22 = -8 + -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. 22 + 2x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 2x = -8 + 0 22 + 2x = -8 Add '-22' to each side of the equation. 22 + -22 + 2x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = -8 + -22 2x = -8 + -22 Combine like terms: -8 + -22 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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