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Simplifying 9(3x + 5) = 6(4x + 7) Reorder the terms: 9(5 + 3x) = 6(4x + 7) (5 * 9 + 3x * 9) = 6(4x + 7) (45 + 27x) = 6(4x + 7) Reorder the terms: 45 + 27x = 6(7 + 4x) 45 + 27x = (7 * 6 + 4x * 6) 45 + 27x = (42 + 24x) Solving 45 + 27x = 42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + 27x + -24x = 42 + 24x + -24x Combine like terms: 27x + -24x = 3x 45 + 3x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 45 + 3x = 42 + 0 45 + 3x = 42 Add '-45' to each side of the equation. 45 + -45 + 3x = 42 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 42 + -45 3x = 42 + -45 Combine like terms: 42 + -45 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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