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Simplifying -2x + -14y + 50 = -16x + -12y + 100 Reorder the terms: 50 + -2x + -14y = -16x + -12y + 100 Reorder the terms: 50 + -2x + -14y = 100 + -16x + -12y Solving 50 + -2x + -14y = 100 + -16x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 50 + -2x + 16x + -14y = 100 + -16x + 16x + -12y Combine like terms: -2x + 16x = 14x 50 + 14x + -14y = 100 + -16x + 16x + -12y Combine like terms: -16x + 16x = 0 50 + 14x + -14y = 100 + 0 + -12y 50 + 14x + -14y = 100 + -12y Add '-50' to each side of the equation. 50 + 14x + -50 + -14y = 100 + -50 + -12y Reorder the terms: 50 + -50 + 14x + -14y = 100 + -50 + -12y Combine like terms: 50 + -50 = 0 0 + 14x + -14y = 100 + -50 + -12y 14x + -14y = 100 + -50 + -12y Combine like terms: 100 + -50 = 50 14x + -14y = 50 + -12y Add '14y' to each side of the equation. 14x + -14y + 14y = 50 + -12y + 14y Combine like terms: -14y + 14y = 0 14x + 0 = 50 + -12y + 14y 14x = 50 + -12y + 14y Combine like terms: -12y + 14y = 2y 14x = 50 + 2y Divide each side by '14'. x = 3.571428571 + 0.1428571429y Simplifying x = 3.571428571 + 0.1428571429y
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