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Simplifying 5(x + 6) + -6(1 + -3x) = 24 Reorder the terms: 5(6 + x) + -6(1 + -3x) = 24 (6 * 5 + x * 5) + -6(1 + -3x) = 24 (30 + 5x) + -6(1 + -3x) = 24 30 + 5x + (1 * -6 + -3x * -6) = 24 30 + 5x + (-6 + 18x) = 24 Reorder the terms: 30 + -6 + 5x + 18x = 24 Combine like terms: 30 + -6 = 24 24 + 5x + 18x = 24 Combine like terms: 5x + 18x = 23x 24 + 23x = 24 Add '-24' to each side of the equation. 24 + -24 + 23x = 24 + -24 Combine like terms: 24 + -24 = 0 0 + 23x = 24 + -24 23x = 24 + -24 Combine like terms: 24 + -24 = 0 23x = 0 Solving 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '23'. x = 0 Simplifying x = 0
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