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