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Simplifying 2x + 2(12 + 2x) = 100 2x + (12 * 2 + 2x * 2) = 100 2x + (24 + 4x) = 100 Reorder the terms: 24 + 2x + 4x = 100 Combine like terms: 2x + 4x = 6x 24 + 6x = 100 Solving 24 + 6x = 100 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 + 6x = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 100 + -24 6x = 100 + -24 Combine like terms: 100 + -24 = 76 6x = 76 Divide each side by '6'. x = 12.66666667 Simplifying x = 12.66666667
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