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Simplifying 2(5x + 9) + 4(x + -1) = 0 Reorder the terms: 2(9 + 5x) + 4(x + -1) = 0 (9 * 2 + 5x * 2) + 4(x + -1) = 0 (18 + 10x) + 4(x + -1) = 0 Reorder the terms: 18 + 10x + 4(-1 + x) = 0 18 + 10x + (-1 * 4 + x * 4) = 0 18 + 10x + (-4 + 4x) = 0 Reorder the terms: 18 + -4 + 10x + 4x = 0 Combine like terms: 18 + -4 = 14 14 + 10x + 4x = 0 Combine like terms: 10x + 4x = 14x 14 + 14x = 0 Solving 14 + 14x = 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 + 14x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 0 + -14 14x = 0 + -14 Combine like terms: 0 + -14 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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