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Simplifying 9(3x + 1) = 8(5x + 6) Reorder the terms: 9(1 + 3x) = 8(5x + 6) (1 * 9 + 3x * 9) = 8(5x + 6) (9 + 27x) = 8(5x + 6) Reorder the terms: 9 + 27x = 8(6 + 5x) 9 + 27x = (6 * 8 + 5x * 8) 9 + 27x = (48 + 40x) Solving 9 + 27x = 48 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 9 + 27x + -40x = 48 + 40x + -40x Combine like terms: 27x + -40x = -13x 9 + -13x = 48 + 40x + -40x Combine like terms: 40x + -40x = 0 9 + -13x = 48 + 0 9 + -13x = 48 Add '-9' to each side of the equation. 9 + -9 + -13x = 48 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 48 + -9 -13x = 48 + -9 Combine like terms: 48 + -9 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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