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Simplifying 6(x + 4) + 4(x + 5) = 74 Reorder the terms: 6(4 + x) + 4(x + 5) = 74 (4 * 6 + x * 6) + 4(x + 5) = 74 (24 + 6x) + 4(x + 5) = 74 Reorder the terms: 24 + 6x + 4(5 + x) = 74 24 + 6x + (5 * 4 + x * 4) = 74 24 + 6x + (20 + 4x) = 74 Reorder the terms: 24 + 20 + 6x + 4x = 74 Combine like terms: 24 + 20 = 44 44 + 6x + 4x = 74 Combine like terms: 6x + 4x = 10x 44 + 10x = 74 Solving 44 + 10x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 10x = 74 + -44 Combine like terms: 44 + -44 = 0 0 + 10x = 74 + -44 10x = 74 + -44 Combine like terms: 74 + -44 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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