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Simplifying 5(2x + -6) + -6(4x + 9) = 0 Reorder the terms: 5(-6 + 2x) + -6(4x + 9) = 0 (-6 * 5 + 2x * 5) + -6(4x + 9) = 0 (-30 + 10x) + -6(4x + 9) = 0 Reorder the terms: -30 + 10x + -6(9 + 4x) = 0 -30 + 10x + (9 * -6 + 4x * -6) = 0 -30 + 10x + (-54 + -24x) = 0 Reorder the terms: -30 + -54 + 10x + -24x = 0 Combine like terms: -30 + -54 = -84 -84 + 10x + -24x = 0 Combine like terms: 10x + -24x = -14x -84 + -14x = 0 Solving -84 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -14x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -14x = 0 + 84 -14x = 0 + 84 Combine like terms: 0 + 84 = 84 -14x = 84 Divide each side by '-14'. x = -6 Simplifying x = -6
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