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Simplifying 1x + 9y = 4x + -6y Solving 1x + 9y = 4x + -6y 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. 1x + -4x + 9y = 4x + -4x + -6y Combine like terms: 1x + -4x = -3x -3x + 9y = 4x + -4x + -6y Combine like terms: 4x + -4x = 0 -3x + 9y = 0 + -6y -3x + 9y = -6y Add '-9y' to each side of the equation. -3x + 9y + -9y = -6y + -9y Combine like terms: 9y + -9y = 0 -3x + 0 = -6y + -9y -3x = -6y + -9y Combine like terms: -6y + -9y = -15y -3x = -15y Divide each side by '-3'. x = 5y Simplifying x = 5y
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