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Simplifying 2(5x + 4) + 3(2 + -1x) = 0 Reorder the terms: 2(4 + 5x) + 3(2 + -1x) = 0 (4 * 2 + 5x * 2) + 3(2 + -1x) = 0 (8 + 10x) + 3(2 + -1x) = 0 8 + 10x + (2 * 3 + -1x * 3) = 0 8 + 10x + (6 + -3x) = 0 Reorder the terms: 8 + 6 + 10x + -3x = 0 Combine like terms: 8 + 6 = 14 14 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 14 + 7x = 0 Solving 14 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 0 + -14 7x = 0 + -14 Combine like terms: 0 + -14 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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