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Simplifying 5y + 12x + -3y = 17x + 12y + -3x Reorder the terms: 12x + 5y + -3y = 17x + 12y + -3x Combine like terms: 5y + -3y = 2y 12x + 2y = 17x + 12y + -3x Reorder the terms: 12x + 2y = 17x + -3x + 12y Combine like terms: 17x + -3x = 14x 12x + 2y = 14x + 12y Solving 12x + 2y = 14x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12x + -14x + 2y = 14x + -14x + 12y Combine like terms: 12x + -14x = -2x -2x + 2y = 14x + -14x + 12y Combine like terms: 14x + -14x = 0 -2x + 2y = 0 + 12y -2x + 2y = 12y Add '-2y' to each side of the equation. -2x + 2y + -2y = 12y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 12y + -2y -2x = 12y + -2y Combine like terms: 12y + -2y = 10y -2x = 10y Divide each side by '-2'. x = -5y Simplifying x = -5y
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