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Simplifying 6(4x + 3) = 2(10x + 9) Reorder the terms: 6(3 + 4x) = 2(10x + 9) (3 * 6 + 4x * 6) = 2(10x + 9) (18 + 24x) = 2(10x + 9) Reorder the terms: 18 + 24x = 2(9 + 10x) 18 + 24x = (9 * 2 + 10x * 2) 18 + 24x = (18 + 20x) Add '-18' to each side of the equation. 18 + -18 + 24x = 18 + -18 + 20x Combine like terms: 18 + -18 = 0 0 + 24x = 18 + -18 + 20x 24x = 18 + -18 + 20x Combine like terms: 18 + -18 = 0 24x = 0 + 20x 24x = 20x Solving 24x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24x + -20x = 20x + -20x Combine like terms: 24x + -20x = 4x 4x = 20x + -20x Combine like terms: 20x + -20x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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