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Simplifying 2[(12 + 2x) + (15 + 2x)] = 74 Remove parenthesis around (12 + 2x) 2[12 + 2x + (15 + 2x)] = 74 Remove parenthesis around (15 + 2x) 2[12 + 2x + 15 + 2x] = 74 Reorder the terms: 2[12 + 15 + 2x + 2x] = 74 Combine like terms: 12 + 15 = 27 2[27 + 2x + 2x] = 74 Combine like terms: 2x + 2x = 4x 2[27 + 4x] = 74 [27 * 2 + 4x * 2] = 74 [54 + 8x] = 74 Solving 54 + 8x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 8x = 74 + -54 Combine like terms: 54 + -54 = 0 0 + 8x = 74 + -54 8x = 74 + -54 Combine like terms: 74 + -54 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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