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Simplifying 3(2x + 4) + -4(x + 2) = 6 Reorder the terms: 3(4 + 2x) + -4(x + 2) = 6 (4 * 3 + 2x * 3) + -4(x + 2) = 6 (12 + 6x) + -4(x + 2) = 6 Reorder the terms: 12 + 6x + -4(2 + x) = 6 12 + 6x + (2 * -4 + x * -4) = 6 12 + 6x + (-8 + -4x) = 6 Reorder the terms: 12 + -8 + 6x + -4x = 6 Combine like terms: 12 + -8 = 4 4 + 6x + -4x = 6 Combine like terms: 6x + -4x = 2x 4 + 2x = 6 Solving 4 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 6 + -4 2x = 6 + -4 Combine like terms: 6 + -4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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