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Simplifying 9(x + 3) = 2(x + 31) Reorder the terms: 9(3 + x) = 2(x + 31) (3 * 9 + x * 9) = 2(x + 31) (27 + 9x) = 2(x + 31) Reorder the terms: 27 + 9x = 2(31 + x) 27 + 9x = (31 * 2 + x * 2) 27 + 9x = (62 + 2x) Solving 27 + 9x = 62 + 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. 27 + 9x + -2x = 62 + 2x + -2x Combine like terms: 9x + -2x = 7x 27 + 7x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 7x = 62 + 0 27 + 7x = 62 Add '-27' to each side of the equation. 27 + -27 + 7x = 62 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 62 + -27 7x = 62 + -27 Combine like terms: 62 + -27 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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