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Simplifying 4(x + 6) + 5(x + 4) = 89 Reorder the terms: 4(6 + x) + 5(x + 4) = 89 (6 * 4 + x * 4) + 5(x + 4) = 89 (24 + 4x) + 5(x + 4) = 89 Reorder the terms: 24 + 4x + 5(4 + x) = 89 24 + 4x + (4 * 5 + x * 5) = 89 24 + 4x + (20 + 5x) = 89 Reorder the terms: 24 + 20 + 4x + 5x = 89 Combine like terms: 24 + 20 = 44 44 + 4x + 5x = 89 Combine like terms: 4x + 5x = 9x 44 + 9x = 89 Solving 44 + 9x = 89 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 + 9x = 89 + -44 Combine like terms: 44 + -44 = 0 0 + 9x = 89 + -44 9x = 89 + -44 Combine like terms: 89 + -44 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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