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Simplifying 5(2x + 6) = -32 + 42 Reorder the terms: 5(6 + 2x) = -32 + 42 (6 * 5 + 2x * 5) = -32 + 42 (30 + 10x) = -32 + 42 Combine like terms: -32 + 42 = 10 30 + 10x = 10 Solving 30 + 10x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 10 + -30 10x = 10 + -30 Combine like terms: 10 + -30 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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