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Simplifying -1y + 5 + -1x + 6x = -2y + 2x + 3 Reorder the terms: 5 + -1x + 6x + -1y = -2y + 2x + 3 Combine like terms: -1x + 6x = 5x 5 + 5x + -1y = -2y + 2x + 3 Reorder the terms: 5 + 5x + -1y = 3 + 2x + -2y Solving 5 + 5x + -1y = 3 + 2x + -2y 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. 5 + 5x + -2x + -1y = 3 + 2x + -2x + -2y Combine like terms: 5x + -2x = 3x 5 + 3x + -1y = 3 + 2x + -2x + -2y Combine like terms: 2x + -2x = 0 5 + 3x + -1y = 3 + 0 + -2y 5 + 3x + -1y = 3 + -2y Add '-5' to each side of the equation. 5 + 3x + -5 + -1y = 3 + -5 + -2y Reorder the terms: 5 + -5 + 3x + -1y = 3 + -5 + -2y Combine like terms: 5 + -5 = 0 0 + 3x + -1y = 3 + -5 + -2y 3x + -1y = 3 + -5 + -2y Combine like terms: 3 + -5 = -2 3x + -1y = -2 + -2y Add 'y' to each side of the equation. 3x + -1y + y = -2 + -2y + y Combine like terms: -1y + y = 0 3x + 0 = -2 + -2y + y 3x = -2 + -2y + y Combine like terms: -2y + y = -1y 3x = -2 + -1y Divide each side by '3'. x = -0.6666666667 + -0.3333333333y Simplifying x = -0.6666666667 + -0.3333333333y
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