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Simplifying 3(x + 2) + -2(2x + -4) = 38 Reorder the terms: 3(2 + x) + -2(2x + -4) = 38 (2 * 3 + x * 3) + -2(2x + -4) = 38 (6 + 3x) + -2(2x + -4) = 38 Reorder the terms: 6 + 3x + -2(-4 + 2x) = 38 6 + 3x + (-4 * -2 + 2x * -2) = 38 6 + 3x + (8 + -4x) = 38 Reorder the terms: 6 + 8 + 3x + -4x = 38 Combine like terms: 6 + 8 = 14 14 + 3x + -4x = 38 Combine like terms: 3x + -4x = -1x 14 + -1x = 38 Solving 14 + -1x = 38 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 = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 38 + -14 -1x = 38 + -14 Combine like terms: 38 + -14 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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