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Simplifying 9(x + 5) + x = 3(x + 3) + -5 Reorder the terms: 9(5 + x) + x = 3(x + 3) + -5 (5 * 9 + x * 9) + x = 3(x + 3) + -5 (45 + 9x) + x = 3(x + 3) + -5 Combine like terms: 9x + x = 10x 45 + 10x = 3(x + 3) + -5 Reorder the terms: 45 + 10x = 3(3 + x) + -5 45 + 10x = (3 * 3 + x * 3) + -5 45 + 10x = (9 + 3x) + -5 Reorder the terms: 45 + 10x = 9 + -5 + 3x Combine like terms: 9 + -5 = 4 45 + 10x = 4 + 3x Solving 45 + 10x = 4 + 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 + 10x + -3x = 4 + 3x + -3x Combine like terms: 10x + -3x = 7x 45 + 7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 7x = 4 + 0 45 + 7x = 4 Add '-45' to each side of the equation. 45 + -45 + 7x = 4 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 4 + -45 7x = 4 + -45 Combine like terms: 4 + -45 = -41 7x = -41 Divide each side by '7'. x = -5.857142857 Simplifying x = -5.857142857
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