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Simplifying 5(x + 9) + x = 3(x + 5) + 4 Reorder the terms: 5(9 + x) + x = 3(x + 5) + 4 (9 * 5 + x * 5) + x = 3(x + 5) + 4 (45 + 5x) + x = 3(x + 5) + 4 Combine like terms: 5x + x = 6x 45 + 6x = 3(x + 5) + 4 Reorder the terms: 45 + 6x = 3(5 + x) + 4 45 + 6x = (5 * 3 + x * 3) + 4 45 + 6x = (15 + 3x) + 4 Reorder the terms: 45 + 6x = 15 + 4 + 3x Combine like terms: 15 + 4 = 19 45 + 6x = 19 + 3x Solving 45 + 6x = 19 + 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 + 6x + -3x = 19 + 3x + -3x Combine like terms: 6x + -3x = 3x 45 + 3x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 3x = 19 + 0 45 + 3x = 19 Add '-45' to each side of the equation. 45 + -45 + 3x = 19 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 19 + -45 3x = 19 + -45 Combine like terms: 19 + -45 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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