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Simplifying 4(x + 2) + 5(x + 2) = 85 Reorder the terms: 4(2 + x) + 5(x + 2) = 85 (2 * 4 + x * 4) + 5(x + 2) = 85 (8 + 4x) + 5(x + 2) = 85 Reorder the terms: 8 + 4x + 5(2 + x) = 85 8 + 4x + (2 * 5 + x * 5) = 85 8 + 4x + (10 + 5x) = 85 Reorder the terms: 8 + 10 + 4x + 5x = 85 Combine like terms: 8 + 10 = 18 18 + 4x + 5x = 85 Combine like terms: 4x + 5x = 9x 18 + 9x = 85 Solving 18 + 9x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9x = 85 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 85 + -18 9x = 85 + -18 Combine like terms: 85 + -18 = 67 9x = 67 Divide each side by '9'. x = 7.444444444 Simplifying x = 7.444444444
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