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Simplifying 4(3x + 2) = 2(1x + 3) Reorder the terms: 4(2 + 3x) = 2(1x + 3) (2 * 4 + 3x * 4) = 2(1x + 3) (8 + 12x) = 2(1x + 3) Reorder the terms: 8 + 12x = 2(3 + 1x) 8 + 12x = (3 * 2 + 1x * 2) 8 + 12x = (6 + 2x) Solving 8 + 12x = 6 + 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. 8 + 12x + -2x = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x 8 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 10x = 6 + 0 8 + 10x = 6 Add '-8' to each side of the equation. 8 + -8 + 10x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 6 + -8 10x = 6 + -8 Combine like terms: 6 + -8 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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