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Simplifying 5(x + 1) + 4(x + 4) = 75 Reorder the terms: 5(1 + x) + 4(x + 4) = 75 (1 * 5 + x * 5) + 4(x + 4) = 75 (5 + 5x) + 4(x + 4) = 75 Reorder the terms: 5 + 5x + 4(4 + x) = 75 5 + 5x + (4 * 4 + x * 4) = 75 5 + 5x + (16 + 4x) = 75 Reorder the terms: 5 + 16 + 5x + 4x = 75 Combine like terms: 5 + 16 = 21 21 + 5x + 4x = 75 Combine like terms: 5x + 4x = 9x 21 + 9x = 75 Solving 21 + 9x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9x = 75 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 75 + -21 9x = 75 + -21 Combine like terms: 75 + -21 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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