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Simplifying 2(x + 12) + 2x = 100 Reorder the terms: 2(12 + x) + 2x = 100 (12 * 2 + x * 2) + 2x = 100 (24 + 2x) + 2x = 100 Combine like terms: 2x + 2x = 4x 24 + 4x = 100 Solving 24 + 4x = 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 + 4x = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 100 + -24 4x = 100 + -24 Combine like terms: 100 + -24 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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