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Simplifying 4(x + 2) + 3(x + 4) = 60 Reorder the terms: 4(2 + x) + 3(x + 4) = 60 (2 * 4 + x * 4) + 3(x + 4) = 60 (8 + 4x) + 3(x + 4) = 60 Reorder the terms: 8 + 4x + 3(4 + x) = 60 8 + 4x + (4 * 3 + x * 3) = 60 8 + 4x + (12 + 3x) = 60 Reorder the terms: 8 + 12 + 4x + 3x = 60 Combine like terms: 8 + 12 = 20 20 + 4x + 3x = 60 Combine like terms: 4x + 3x = 7x 20 + 7x = 60 Solving 20 + 7x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 60 + -20 7x = 60 + -20 Combine like terms: 60 + -20 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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