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Simplifying 9(3x + 1) + 7(3x + 1) = 160 Reorder the terms: 9(1 + 3x) + 7(3x + 1) = 160 (1 * 9 + 3x * 9) + 7(3x + 1) = 160 (9 + 27x) + 7(3x + 1) = 160 Reorder the terms: 9 + 27x + 7(1 + 3x) = 160 9 + 27x + (1 * 7 + 3x * 7) = 160 9 + 27x + (7 + 21x) = 160 Reorder the terms: 9 + 7 + 27x + 21x = 160 Combine like terms: 9 + 7 = 16 16 + 27x + 21x = 160 Combine like terms: 27x + 21x = 48x 16 + 48x = 160 Solving 16 + 48x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 48x = 160 + -16 Combine like terms: 16 + -16 = 0 0 + 48x = 160 + -16 48x = 160 + -16 Combine like terms: 160 + -16 = 144 48x = 144 Divide each side by '48'. x = 3 Simplifying x = 3
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