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Simplifying 5y + 3x = 2x + 12y Reorder the terms: 3x + 5y = 2x + 12y Solving 3x + 5y = 2x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x + 5y = 2x + -2x + 12y Combine like terms: 3x + -2x = 1x 1x + 5y = 2x + -2x + 12y Combine like terms: 2x + -2x = 0 1x + 5y = 0 + 12y 1x + 5y = 12y Add '-5y' to each side of the equation. 1x + 5y + -5y = 12y + -5y Combine like terms: 5y + -5y = 0 1x + 0 = 12y + -5y 1x = 12y + -5y Combine like terms: 12y + -5y = 7y 1x = 7y Divide each side by '1'. x = 7y Simplifying x = 7y
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