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Simplifying 3(x + 2) + -2(x + -4) = 28 Reorder the terms: 3(2 + x) + -2(x + -4) = 28 (2 * 3 + x * 3) + -2(x + -4) = 28 (6 + 3x) + -2(x + -4) = 28 Reorder the terms: 6 + 3x + -2(-4 + x) = 28 6 + 3x + (-4 * -2 + x * -2) = 28 6 + 3x + (8 + -2x) = 28 Reorder the terms: 6 + 8 + 3x + -2x = 28 Combine like terms: 6 + 8 = 14 14 + 3x + -2x = 28 Combine like terms: 3x + -2x = 1x 14 + 1x = 28 Solving 14 + 1x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 28 + -14 1x = 28 + -14 Combine like terms: 28 + -14 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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