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Simplifying 5(x + 1) + 7(x + 3) = 146 Reorder the terms: 5(1 + x) + 7(x + 3) = 146 (1 * 5 + x * 5) + 7(x + 3) = 146 (5 + 5x) + 7(x + 3) = 146 Reorder the terms: 5 + 5x + 7(3 + x) = 146 5 + 5x + (3 * 7 + x * 7) = 146 5 + 5x + (21 + 7x) = 146 Reorder the terms: 5 + 21 + 5x + 7x = 146 Combine like terms: 5 + 21 = 26 26 + 5x + 7x = 146 Combine like terms: 5x + 7x = 12x 26 + 12x = 146 Solving 26 + 12x = 146 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 12x = 146 + -26 Combine like terms: 26 + -26 = 0 0 + 12x = 146 + -26 12x = 146 + -26 Combine like terms: 146 + -26 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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