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Simplifying 10x + 1y = 6x + 12 Reorder the terms: 10x + 1y = 12 + 6x Solving 10x + 1y = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10x + -6x + 1y = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 4x + 1y = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 4x + 1y = 12 + 0 4x + 1y = 12 Add '-1y' to each side of the equation. 4x + 1y + -1y = 12 + -1y Combine like terms: 1y + -1y = 0 4x + 0 = 12 + -1y 4x = 12 + -1y Divide each side by '4'. x = 3 + -0.25y Simplifying x = 3 + -0.25y
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