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Simplifying 2(3x + 5) = -34 + 2 Reorder the terms: 2(5 + 3x) = -34 + 2 (5 * 2 + 3x * 2) = -34 + 2 (10 + 6x) = -34 + 2 Combine like terms: -34 + 2 = -32 10 + 6x = -32 Solving 10 + 6x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -32 + -10 6x = -32 + -10 Combine like terms: -32 + -10 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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