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Simplifying 4x + -6y + 2 = 9y + -5x + 6 Reorder the terms: 2 + 4x + -6y = 9y + -5x + 6 Reorder the terms: 2 + 4x + -6y = 6 + -5x + 9y Solving 2 + 4x + -6y = 6 + -5x + 9y 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. 2 + 4x + 5x + -6y = 6 + -5x + 5x + 9y Combine like terms: 4x + 5x = 9x 2 + 9x + -6y = 6 + -5x + 5x + 9y Combine like terms: -5x + 5x = 0 2 + 9x + -6y = 6 + 0 + 9y 2 + 9x + -6y = 6 + 9y Add '-2' to each side of the equation. 2 + 9x + -2 + -6y = 6 + -2 + 9y Reorder the terms: 2 + -2 + 9x + -6y = 6 + -2 + 9y Combine like terms: 2 + -2 = 0 0 + 9x + -6y = 6 + -2 + 9y 9x + -6y = 6 + -2 + 9y Combine like terms: 6 + -2 = 4 9x + -6y = 4 + 9y Add '6y' to each side of the equation. 9x + -6y + 6y = 4 + 9y + 6y Combine like terms: -6y + 6y = 0 9x + 0 = 4 + 9y + 6y 9x = 4 + 9y + 6y Combine like terms: 9y + 6y = 15y 9x = 4 + 15y Divide each side by '9'. x = 0.4444444444 + 1.666666667y Simplifying x = 0.4444444444 + 1.666666667y
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