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Simplifying 3(x + 1) + 7(x + 3) = 64 Reorder the terms: 3(1 + x) + 7(x + 3) = 64 (1 * 3 + x * 3) + 7(x + 3) = 64 (3 + 3x) + 7(x + 3) = 64 Reorder the terms: 3 + 3x + 7(3 + x) = 64 3 + 3x + (3 * 7 + x * 7) = 64 3 + 3x + (21 + 7x) = 64 Reorder the terms: 3 + 21 + 3x + 7x = 64 Combine like terms: 3 + 21 = 24 24 + 3x + 7x = 64 Combine like terms: 3x + 7x = 10x 24 + 10x = 64 Solving 24 + 10x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10x = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 64 + -24 10x = 64 + -24 Combine like terms: 64 + -24 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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