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Simplifying 6(2 + 2x) = 3(8 + -4x) (2 * 6 + 2x * 6) = 3(8 + -4x) (12 + 12x) = 3(8 + -4x) 12 + 12x = (8 * 3 + -4x * 3) 12 + 12x = (24 + -12x) Solving 12 + 12x = 24 + -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. 12 + 12x + 12x = 24 + -12x + 12x Combine like terms: 12x + 12x = 24x 12 + 24x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 24x = 24 + 0 12 + 24x = 24 Add '-12' to each side of the equation. 12 + -12 + 24x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 24 + -12 24x = 24 + -12 Combine like terms: 24 + -12 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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