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Simplifying x + 3(x + 2) + 2(x + 4) = 68 Reorder the terms: x + 3(2 + x) + 2(x + 4) = 68 x + (2 * 3 + x * 3) + 2(x + 4) = 68 x + (6 + 3x) + 2(x + 4) = 68 Reorder the terms: x + 6 + 3x + 2(4 + x) = 68 x + 6 + 3x + (4 * 2 + x * 2) = 68 x + 6 + 3x + (8 + 2x) = 68 Reorder the terms: 6 + 8 + x + 3x + 2x = 68 Combine like terms: 6 + 8 = 14 14 + x + 3x + 2x = 68 Combine like terms: x + 3x = 4x 14 + 4x + 2x = 68 Combine like terms: 4x + 2x = 6x 14 + 6x = 68 Solving 14 + 6x = 68 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 + 6x = 68 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 68 + -14 6x = 68 + -14 Combine like terms: 68 + -14 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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