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Simplifying 42 = 9(5x + 6) Reorder the terms: 42 = 9(6 + 5x) 42 = (6 * 9 + 5x * 9) 42 = (54 + 45x) Solving 42 = 54 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 42 + -45x = 54 + 45x + -45x Combine like terms: 45x + -45x = 0 42 + -45x = 54 + 0 42 + -45x = 54 Add '-42' to each side of the equation. 42 + -42 + -45x = 54 + -42 Combine like terms: 42 + -42 = 0 0 + -45x = 54 + -42 -45x = 54 + -42 Combine like terms: 54 + -42 = 12 -45x = 12 Divide each side by '-45'. x = -0.2666666667 Simplifying x = -0.2666666667
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