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Simplifying 24 + 12(5x + -2) + -3(8x + 10) = 0 Reorder the terms: 24 + 12(-2 + 5x) + -3(8x + 10) = 0 24 + (-2 * 12 + 5x * 12) + -3(8x + 10) = 0 24 + (-24 + 60x) + -3(8x + 10) = 0 Reorder the terms: 24 + -24 + 60x + -3(10 + 8x) = 0 24 + -24 + 60x + (10 * -3 + 8x * -3) = 0 24 + -24 + 60x + (-30 + -24x) = 0 Reorder the terms: 24 + -24 + -30 + 60x + -24x = 0 Combine like terms: 24 + -24 = 0 0 + -30 + 60x + -24x = 0 -30 + 60x + -24x = 0 Combine like terms: 60x + -24x = 36x -30 + 36x = 0 Solving -30 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 36x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 36x = 0 + 30 36x = 0 + 30 Combine like terms: 0 + 30 = 30 36x = 30 Divide each side by '36'. x = 0.8333333333 Simplifying x = 0.8333333333
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