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Simplifying 2(6x + 4) = 3x + 24 Reorder the terms: 2(4 + 6x) = 3x + 24 (4 * 2 + 6x * 2) = 3x + 24 (8 + 12x) = 3x + 24 Reorder the terms: 8 + 12x = 24 + 3x Solving 8 + 12x = 24 + 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. 8 + 12x + -3x = 24 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = 24 + 0 8 + 9x = 24 Add '-8' to each side of the equation. 8 + -8 + 9x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 24 + -8 9x = 24 + -8 Combine like terms: 24 + -8 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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