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Simplifying 9(x + 5) = 3(x + 31) Reorder the terms: 9(5 + x) = 3(x + 31) (5 * 9 + x * 9) = 3(x + 31) (45 + 9x) = 3(x + 31) Reorder the terms: 45 + 9x = 3(31 + x) 45 + 9x = (31 * 3 + x * 3) 45 + 9x = (93 + 3x) Solving 45 + 9x = 93 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + 9x + -3x = 93 + 3x + -3x Combine like terms: 9x + -3x = 6x 45 + 6x = 93 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 6x = 93 + 0 45 + 6x = 93 Add '-45' to each side of the equation. 45 + -45 + 6x = 93 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 93 + -45 6x = 93 + -45 Combine like terms: 93 + -45 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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