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Simplifying 3(20x + -24) + 4(30 + -36x) = 0 Reorder the terms: 3(-24 + 20x) + 4(30 + -36x) = 0 (-24 * 3 + 20x * 3) + 4(30 + -36x) = 0 (-72 + 60x) + 4(30 + -36x) = 0 -72 + 60x + (30 * 4 + -36x * 4) = 0 -72 + 60x + (120 + -144x) = 0 Reorder the terms: -72 + 120 + 60x + -144x = 0 Combine like terms: -72 + 120 = 48 48 + 60x + -144x = 0 Combine like terms: 60x + -144x = -84x 48 + -84x = 0 Solving 48 + -84x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -84x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -84x = 0 + -48 -84x = 0 + -48 Combine like terms: 0 + -48 = -48 -84x = -48 Divide each side by '-84'. x = 0.5714285714 Simplifying x = 0.5714285714
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