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Simplifying 5y + -1x = 3x + 12y Reorder the terms: -1x + 5y = 3x + 12y Solving -1x + 5y = 3x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1x + -3x + 5y = 3x + -3x + 12y Combine like terms: -1x + -3x = -4x -4x + 5y = 3x + -3x + 12y Combine like terms: 3x + -3x = 0 -4x + 5y = 0 + 12y -4x + 5y = 12y Add '-5y' to each side of the equation. -4x + 5y + -5y = 12y + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = 12y + -5y -4x = 12y + -5y Combine like terms: 12y + -5y = 7y -4x = 7y Divide each side by '-4'. x = -1.75y Simplifying x = -1.75y
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