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Simplifying 3(12x + 8) = 6(2x + 8) Reorder the terms: 3(8 + 12x) = 6(2x + 8) (8 * 3 + 12x * 3) = 6(2x + 8) (24 + 36x) = 6(2x + 8) Reorder the terms: 24 + 36x = 6(8 + 2x) 24 + 36x = (8 * 6 + 2x * 6) 24 + 36x = (48 + 12x) Solving 24 + 36x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 36x + -12x = 48 + 12x + -12x Combine like terms: 36x + -12x = 24x 24 + 24x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 24x = 48 + 0 24 + 24x = 48 Add '-24' to each side of the equation. 24 + -24 + 24x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = 48 + -24 24x = 48 + -24 Combine like terms: 48 + -24 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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