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Simplifying 9(x + 2) = 2(x + 37) Reorder the terms: 9(2 + x) = 2(x + 37) (2 * 9 + x * 9) = 2(x + 37) (18 + 9x) = 2(x + 37) Reorder the terms: 18 + 9x = 2(37 + x) 18 + 9x = (37 * 2 + x * 2) 18 + 9x = (74 + 2x) Solving 18 + 9x = 74 + 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. 18 + 9x + -2x = 74 + 2x + -2x Combine like terms: 9x + -2x = 7x 18 + 7x = 74 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 7x = 74 + 0 18 + 7x = 74 Add '-18' to each side of the equation. 18 + -18 + 7x = 74 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 74 + -18 7x = 74 + -18 Combine like terms: 74 + -18 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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