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Simplifying 3(x + 2) + 4(x + 1) = 73 Reorder the terms: 3(2 + x) + 4(x + 1) = 73 (2 * 3 + x * 3) + 4(x + 1) = 73 (6 + 3x) + 4(x + 1) = 73 Reorder the terms: 6 + 3x + 4(1 + x) = 73 6 + 3x + (1 * 4 + x * 4) = 73 6 + 3x + (4 + 4x) = 73 Reorder the terms: 6 + 4 + 3x + 4x = 73 Combine like terms: 6 + 4 = 10 10 + 3x + 4x = 73 Combine like terms: 3x + 4x = 7x 10 + 7x = 73 Solving 10 + 7x = 73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 73 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 73 + -10 7x = 73 + -10 Combine like terms: 73 + -10 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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