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Simplifying 9(x + 5) = 6x + 2 Reorder the terms: 9(5 + x) = 6x + 2 (5 * 9 + x * 9) = 6x + 2 (45 + 9x) = 6x + 2 Reorder the terms: 45 + 9x = 2 + 6x Solving 45 + 9x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 9x + -6x = 2 + 6x + -6x Combine like terms: 9x + -6x = 3x 45 + 3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 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 = -43 3x = -43 Divide each side by '3'. x = -14.33333333 Simplifying x = -14.33333333
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