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Simplifying 3(4x + 2) = 2(x + 5) Reorder the terms: 3(2 + 4x) = 2(x + 5) (2 * 3 + 4x * 3) = 2(x + 5) (6 + 12x) = 2(x + 5) Reorder the terms: 6 + 12x = 2(5 + x) 6 + 12x = (5 * 2 + x * 2) 6 + 12x = (10 + 2x) Solving 6 + 12x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x 6 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 10x = 10 + 0 6 + 10x = 10 Add '-6' to each side of the equation. 6 + -6 + 10x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 10 + -6 10x = 10 + -6 Combine like terms: 10 + -6 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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