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Simplifying 2(5x + 9) = -38 + 6 Reorder the terms: 2(9 + 5x) = -38 + 6 (9 * 2 + 5x * 2) = -38 + 6 (18 + 10x) = -38 + 6 Combine like terms: -38 + 6 = -32 18 + 10x = -32 Solving 18 + 10x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10x = -32 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = -32 + -18 10x = -32 + -18 Combine like terms: -32 + -18 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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