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Simplifying 2(2 + x) + 3(5 + x) = 54 (2 * 2 + x * 2) + 3(5 + x) = 54 (4 + 2x) + 3(5 + x) = 54 4 + 2x + (5 * 3 + x * 3) = 54 4 + 2x + (15 + 3x) = 54 Reorder the terms: 4 + 15 + 2x + 3x = 54 Combine like terms: 4 + 15 = 19 19 + 2x + 3x = 54 Combine like terms: 2x + 3x = 5x 19 + 5x = 54 Solving 19 + 5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5x = 54 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 54 + -19 5x = 54 + -19 Combine like terms: 54 + -19 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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