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Simplifying 2[4(x + 3) + -3x] = 38 Reorder the terms: 2[4(3 + x) + -3x] = 38 2[(3 * 4 + x * 4) + -3x] = 38 2[(12 + 4x) + -3x] = 38 Combine like terms: 4x + -3x = 1x 2[12 + 1x] = 38 [12 * 2 + 1x * 2] = 38 [24 + 2x] = 38 Solving 24 + 2x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 38 + -24 2x = 38 + -24 Combine like terms: 38 + -24 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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