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Simplifying -4(-3 + -5x) + -2(7x + -6) = 24 (-3 * -4 + -5x * -4) + -2(7x + -6) = 24 (12 + 20x) + -2(7x + -6) = 24 Reorder the terms: 12 + 20x + -2(-6 + 7x) = 24 12 + 20x + (-6 * -2 + 7x * -2) = 24 12 + 20x + (12 + -14x) = 24 Reorder the terms: 12 + 12 + 20x + -14x = 24 Combine like terms: 12 + 12 = 24 24 + 20x + -14x = 24 Combine like terms: 20x + -14x = 6x 24 + 6x = 24 Add '-24' to each side of the equation. 24 + -24 + 6x = 24 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 24 + -24 6x = 24 + -24 Combine like terms: 24 + -24 = 0 6x = 0 Solving 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = 0 Simplifying x = 0
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