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Simplifying 9(5x + 7) + -1(22x + -13) = 0 Reorder the terms: 9(7 + 5x) + -1(22x + -13) = 0 (7 * 9 + 5x * 9) + -1(22x + -13) = 0 (63 + 45x) + -1(22x + -13) = 0 Reorder the terms: 63 + 45x + -1(-13 + 22x) = 0 63 + 45x + (-13 * -1 + 22x * -1) = 0 63 + 45x + (13 + -22x) = 0 Reorder the terms: 63 + 13 + 45x + -22x = 0 Combine like terms: 63 + 13 = 76 76 + 45x + -22x = 0 Combine like terms: 45x + -22x = 23x 76 + 23x = 0 Solving 76 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 23x = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 23x = 0 + -76 23x = 0 + -76 Combine like terms: 0 + -76 = -76 23x = -76 Divide each side by '23'. x = -3.304347826 Simplifying x = -3.304347826
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