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Simplifying 2x + 1 + -14y + 49 = -16x + 64 + -12y + 36 Reorder the terms: 1 + 49 + 2x + -14y = -16x + 64 + -12y + 36 Combine like terms: 1 + 49 = 50 50 + 2x + -14y = -16x + 64 + -12y + 36 Reorder the terms: 50 + 2x + -14y = 64 + 36 + -16x + -12y Combine like terms: 64 + 36 = 100 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 = 18x 50 + 18x + -14y = 100 + -16x + 16x + -12y Combine like terms: -16x + 16x = 0 50 + 18x + -14y = 100 + 0 + -12y 50 + 18x + -14y = 100 + -12y Add '-50' to each side of the equation. 50 + 18x + -50 + -14y = 100 + -50 + -12y Reorder the terms: 50 + -50 + 18x + -14y = 100 + -50 + -12y Combine like terms: 50 + -50 = 0 0 + 18x + -14y = 100 + -50 + -12y 18x + -14y = 100 + -50 + -12y Combine like terms: 100 + -50 = 50 18x + -14y = 50 + -12y Add '14y' to each side of the equation. 18x + -14y + 14y = 50 + -12y + 14y Combine like terms: -14y + 14y = 0 18x + 0 = 50 + -12y + 14y 18x = 50 + -12y + 14y Combine like terms: -12y + 14y = 2y 18x = 50 + 2y Divide each side by '18'. x = 2.777777778 + 0.1111111111y Simplifying x = 2.777777778 + 0.1111111111y
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