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Simplifying 7(2x + 4) + 3(1 + x) = 48 Reorder the terms: 7(4 + 2x) + 3(1 + x) = 48 (4 * 7 + 2x * 7) + 3(1 + x) = 48 (28 + 14x) + 3(1 + x) = 48 28 + 14x + (1 * 3 + x * 3) = 48 28 + 14x + (3 + 3x) = 48 Reorder the terms: 28 + 3 + 14x + 3x = 48 Combine like terms: 28 + 3 = 31 31 + 14x + 3x = 48 Combine like terms: 14x + 3x = 17x 31 + 17x = 48 Solving 31 + 17x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 17x = 48 + -31 Combine like terms: 31 + -31 = 0 0 + 17x = 48 + -31 17x = 48 + -31 Combine like terms: 48 + -31 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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