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Simplifying 24(2x + 18) = 3x + 6 Reorder the terms: 24(18 + 2x) = 3x + 6 (18 * 24 + 2x * 24) = 3x + 6 (432 + 48x) = 3x + 6 Reorder the terms: 432 + 48x = 6 + 3x Solving 432 + 48x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 432 + 48x + -3x = 6 + 3x + -3x Combine like terms: 48x + -3x = 45x 432 + 45x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 432 + 45x = 6 + 0 432 + 45x = 6 Add '-432' to each side of the equation. 432 + -432 + 45x = 6 + -432 Combine like terms: 432 + -432 = 0 0 + 45x = 6 + -432 45x = 6 + -432 Combine like terms: 6 + -432 = -426 45x = -426 Divide each side by '45'. x = -9.466666667 Simplifying x = -9.466666667
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