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Simplifying 5(x + 9) + x = 3(x + 2) + -8 Reorder the terms: 5(9 + x) + x = 3(x + 2) + -8 (9 * 5 + x * 5) + x = 3(x + 2) + -8 (45 + 5x) + x = 3(x + 2) + -8 Combine like terms: 5x + x = 6x 45 + 6x = 3(x + 2) + -8 Reorder the terms: 45 + 6x = 3(2 + x) + -8 45 + 6x = (2 * 3 + x * 3) + -8 45 + 6x = (6 + 3x) + -8 Reorder the terms: 45 + 6x = 6 + -8 + 3x Combine like terms: 6 + -8 = -2 45 + 6x = -2 + 3x Solving 45 + 6x = -2 + 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 = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x 45 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 3x = -2 + 0 45 + 3x = -2 Add '-45' to each side of the equation. 45 + -45 + 3x = -2 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = -2 + -45 3x = -2 + -45 Combine like terms: -2 + -45 = -47 3x = -47 Divide each side by '3'. x = -15.66666667 Simplifying x = -15.66666667
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