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Simplifying 10x + 6(12x + 2y) = 16 10x + (12x * 6 + 2y * 6) = 16 10x + (72x + 12y) = 16 Combine like terms: 10x + 72x = 82x 82x + 12y = 16 Solving 82x + 12y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 82x + 12y + -12y = 16 + -12y Combine like terms: 12y + -12y = 0 82x + 0 = 16 + -12y 82x = 16 + -12y Divide each side by '82'. x = 0.1951219512 + -0.1463414634y Simplifying x = 0.1951219512 + -0.1463414634y
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