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Simplifying 2x + -1y + 6 = 6x + 2y + -5 Reorder the terms: 6 + 2x + -1y = 6x + 2y + -5 Reorder the terms: 6 + 2x + -1y = -5 + 6x + 2y Solving 6 + 2x + -1y = -5 + 6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 2x + -6x + -1y = -5 + 6x + -6x + 2y Combine like terms: 2x + -6x = -4x 6 + -4x + -1y = -5 + 6x + -6x + 2y Combine like terms: 6x + -6x = 0 6 + -4x + -1y = -5 + 0 + 2y 6 + -4x + -1y = -5 + 2y Add '-6' to each side of the equation. 6 + -4x + -6 + -1y = -5 + -6 + 2y Reorder the terms: 6 + -6 + -4x + -1y = -5 + -6 + 2y Combine like terms: 6 + -6 = 0 0 + -4x + -1y = -5 + -6 + 2y -4x + -1y = -5 + -6 + 2y Combine like terms: -5 + -6 = -11 -4x + -1y = -11 + 2y Add 'y' to each side of the equation. -4x + -1y + y = -11 + 2y + y Combine like terms: -1y + y = 0 -4x + 0 = -11 + 2y + y -4x = -11 + 2y + y Combine like terms: 2y + y = 3y -4x = -11 + 3y Divide each side by '-4'. x = 2.75 + -0.75y Simplifying x = 2.75 + -0.75y
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