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Simplifying 2(x + 30) + 5(2x + -1) = 0 Reorder the terms: 2(30 + x) + 5(2x + -1) = 0 (30 * 2 + x * 2) + 5(2x + -1) = 0 (60 + 2x) + 5(2x + -1) = 0 Reorder the terms: 60 + 2x + 5(-1 + 2x) = 0 60 + 2x + (-1 * 5 + 2x * 5) = 0 60 + 2x + (-5 + 10x) = 0 Reorder the terms: 60 + -5 + 2x + 10x = 0 Combine like terms: 60 + -5 = 55 55 + 2x + 10x = 0 Combine like terms: 2x + 10x = 12x 55 + 12x = 0 Solving 55 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 12x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 12x = 0 + -55 12x = 0 + -55 Combine like terms: 0 + -55 = -55 12x = -55 Divide each side by '12'. x = -4.583333333 Simplifying x = -4.583333333
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