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Simplifying x + 2 + 2(5 + x) = 150 x + 2 + (5 * 2 + x * 2) = 150 x + 2 + (10 + 2x) = 150 Reorder the terms: 2 + 10 + x + 2x = 150 Combine like terms: 2 + 10 = 12 12 + x + 2x = 150 Combine like terms: x + 2x = 3x 12 + 3x = 150 Solving 12 + 3x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 150 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 150 + -12 3x = 150 + -12 Combine like terms: 150 + -12 = 138 3x = 138 Divide each side by '3'. x = 46 Simplifying x = 46
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