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Simplifying 2(7 + 10x) = 24 + 18x (7 * 2 + 10x * 2) = 24 + 18x (14 + 20x) = 24 + 18x Solving 14 + 20x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 14 + 20x + -18x = 24 + 18x + -18x Combine like terms: 20x + -18x = 2x 14 + 2x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + 2x = 24 + 0 14 + 2x = 24 Add '-14' to each side of the equation. 14 + -14 + 2x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 24 + -14 2x = 24 + -14 Combine like terms: 24 + -14 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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