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Simplifying (9 + 22) * 9 = 13(13 + x) Combine like terms: 9 + 22 = 31 (31) * 9 = 13(13 + x) Multiply 31 * 9 279 = 13(13 + x) 279 = (13 * 13 + x * 13) 279 = (169 + 13x) Solving 279 = 169 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 279 + -13x = 169 + 13x + -13x Combine like terms: 13x + -13x = 0 279 + -13x = 169 + 0 279 + -13x = 169 Add '-279' to each side of the equation. 279 + -279 + -13x = 169 + -279 Combine like terms: 279 + -279 = 0 0 + -13x = 169 + -279 -13x = 169 + -279 Combine like terms: 169 + -279 = -110 -13x = -110 Divide each side by '-13'. x = 8.461538462 Simplifying x = 8.461538462
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