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Simplifying 4(3x + 6) = 2(5x + 6) Reorder the terms: 4(6 + 3x) = 2(5x + 6) (6 * 4 + 3x * 4) = 2(5x + 6) (24 + 12x) = 2(5x + 6) Reorder the terms: 24 + 12x = 2(6 + 5x) 24 + 12x = (6 * 2 + 5x * 2) 24 + 12x = (12 + 10x) Solving 24 + 12x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 12x + -10x = 12 + 10x + -10x Combine like terms: 12x + -10x = 2x 24 + 2x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 2x = 12 + 0 24 + 2x = 12 Add '-24' to each side of the equation. 24 + -24 + 2x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 12 + -24 2x = 12 + -24 Combine like terms: 12 + -24 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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