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Simplifying 7(x + 2) = 2(2x + 9) Reorder the terms: 7(2 + x) = 2(2x + 9) (2 * 7 + x * 7) = 2(2x + 9) (14 + 7x) = 2(2x + 9) Reorder the terms: 14 + 7x = 2(9 + 2x) 14 + 7x = (9 * 2 + 2x * 2) 14 + 7x = (18 + 4x) Solving 14 + 7x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 7x + -4x = 18 + 4x + -4x Combine like terms: 7x + -4x = 3x 14 + 3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 3x = 18 + 0 14 + 3x = 18 Add '-14' to each side of the equation. 14 + -14 + 3x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 18 + -14 3x = 18 + -14 Combine like terms: 18 + -14 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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