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Simplifying 3(6 + -2x) + 4(5x + -1) = 0 (6 * 3 + -2x * 3) + 4(5x + -1) = 0 (18 + -6x) + 4(5x + -1) = 0 Reorder the terms: 18 + -6x + 4(-1 + 5x) = 0 18 + -6x + (-1 * 4 + 5x * 4) = 0 18 + -6x + (-4 + 20x) = 0 Reorder the terms: 18 + -4 + -6x + 20x = 0 Combine like terms: 18 + -4 = 14 14 + -6x + 20x = 0 Combine like terms: -6x + 20x = 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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