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Simplifying 8x + 12y = 3y + 10 Reorder the terms: 8x + 12y = 10 + 3y Solving 8x + 12y = 10 + 3y 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. 8x + 12y + -12y = 10 + 3y + -12y Combine like terms: 12y + -12y = 0 8x + 0 = 10 + 3y + -12y 8x = 10 + 3y + -12y Combine like terms: 3y + -12y = -9y 8x = 10 + -9y Divide each side by '8'. x = 1.25 + -1.125y Simplifying x = 1.25 + -1.125y
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