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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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