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Simplifying 4y + -5x = (4x + -2y + 1) Reorder the terms: -5x + 4y = (4x + -2y + 1) Reorder the terms: -5x + 4y = (1 + 4x + -2y) Remove parenthesis around (1 + 4x + -2y) -5x + 4y = 1 + 4x + -2y Solving -5x + 4y = 1 + 4x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5x + -4x + 4y = 1 + 4x + -4x + -2y Combine like terms: -5x + -4x = -9x -9x + 4y = 1 + 4x + -4x + -2y Combine like terms: 4x + -4x = 0 -9x + 4y = 1 + 0 + -2y -9x + 4y = 1 + -2y Add '-4y' to each side of the equation. -9x + 4y + -4y = 1 + -2y + -4y Combine like terms: 4y + -4y = 0 -9x + 0 = 1 + -2y + -4y -9x = 1 + -2y + -4y Combine like terms: -2y + -4y = -6y -9x = 1 + -6y Divide each side by '-9'. x = -0.1111111111 + 0.6666666667y Simplifying x = -0.1111111111 + 0.6666666667y
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