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