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Simplifying 2(3 + x) + 2(2 + y) = 16 (3 * 2 + x * 2) + 2(2 + y) = 16 (6 + 2x) + 2(2 + y) = 16 6 + 2x + (2 * 2 + y * 2) = 16 6 + 2x + (4 + 2y) = 16 Reorder the terms: 6 + 4 + 2x + 2y = 16 Combine like terms: 6 + 4 = 10 10 + 2x + 2y = 16 Solving 10 + 2x + 2y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2x + -10 + 2y = 16 + -10 Reorder the terms: 10 + -10 + 2x + 2y = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + 2y = 16 + -10 2x + 2y = 16 + -10 Combine like terms: 16 + -10 = 6 2x + 2y = 6 Add '-2y' to each side of the equation. 2x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 6 + -2y 2x = 6 + -2y Divide each side by '2'. x = 3 + -1y Simplifying x = 3 + -1y
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