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Simplifying 4(4x + 9y) + 2(4y + 3x) = 12 (4x * 4 + 9y * 4) + 2(4y + 3x) = 12 (16x + 36y) + 2(4y + 3x) = 12 Reorder the terms: 16x + 36y + 2(3x + 4y) = 12 16x + 36y + (3x * 2 + 4y * 2) = 12 16x + 36y + (6x + 8y) = 12 Reorder the terms: 16x + 6x + 36y + 8y = 12 Combine like terms: 16x + 6x = 22x 22x + 36y + 8y = 12 Combine like terms: 36y + 8y = 44y 22x + 44y = 12 Solving 22x + 44y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44y' to each side of the equation. 22x + 44y + -44y = 12 + -44y Combine like terms: 44y + -44y = 0 22x + 0 = 12 + -44y 22x = 12 + -44y Divide each side by '22'. x = 0.5454545455 + -2y Simplifying x = 0.5454545455 + -2y
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