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Simplifying -2(x + -5) + 4(9 + x) = 0 Reorder the terms: -2(-5 + x) + 4(9 + x) = 0 (-5 * -2 + x * -2) + 4(9 + x) = 0 (10 + -2x) + 4(9 + x) = 0 10 + -2x + (9 * 4 + x * 4) = 0 10 + -2x + (36 + 4x) = 0 Reorder the terms: 10 + 36 + -2x + 4x = 0 Combine like terms: 10 + 36 = 46 46 + -2x + 4x = 0 Combine like terms: -2x + 4x = 2x 46 + 2x = 0 Solving 46 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 2x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 0 + -46 2x = 0 + -46 Combine like terms: 0 + -46 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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