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Simplifying 2(2x + 7) = 2x + 18 Reorder the terms: 2(7 + 2x) = 2x + 18 (7 * 2 + 2x * 2) = 2x + 18 (14 + 4x) = 2x + 18 Reorder the terms: 14 + 4x = 18 + 2x Solving 14 + 4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 18 + 0 14 + 2x = 18 Add '-14' to each side of the equation. 14 + -14 + 2x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 18 + -14 2x = 18 + -14 Combine like terms: 18 + -14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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