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Simplifying 3(x + 3y) + 2(x + 2) = 17 (x * 3 + 3y * 3) + 2(x + 2) = 17 (3x + 9y) + 2(x + 2) = 17 Reorder the terms: 3x + 9y + 2(2 + x) = 17 3x + 9y + (2 * 2 + x * 2) = 17 3x + 9y + (4 + 2x) = 17 Reorder the terms: 4 + 3x + 2x + 9y = 17 Combine like terms: 3x + 2x = 5x 4 + 5x + 9y = 17 Solving 4 + 5x + 9y = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5x + -4 + 9y = 17 + -4 Reorder the terms: 4 + -4 + 5x + 9y = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + 9y = 17 + -4 5x + 9y = 17 + -4 Combine like terms: 17 + -4 = 13 5x + 9y = 13 Add '-9y' to each side of the equation. 5x + 9y + -9y = 13 + -9y Combine like terms: 9y + -9y = 0 5x + 0 = 13 + -9y 5x = 13 + -9y Divide each side by '5'. x = 2.6 + -1.8y Simplifying x = 2.6 + -1.8y
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