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Simplifying 6(2x + 4) = 3(6x + 3) Reorder the terms: 6(4 + 2x) = 3(6x + 3) (4 * 6 + 2x * 6) = 3(6x + 3) (24 + 12x) = 3(6x + 3) Reorder the terms: 24 + 12x = 3(3 + 6x) 24 + 12x = (3 * 3 + 6x * 3) 24 + 12x = (9 + 18x) Solving 24 + 12x = 9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + 12x + -18x = 9 + 18x + -18x Combine like terms: 12x + -18x = -6x 24 + -6x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -6x = 9 + 0 24 + -6x = 9 Add '-24' to each side of the equation. 24 + -24 + -6x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 9 + -24 -6x = 9 + -24 Combine like terms: 9 + -24 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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