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Simplifying 5x + 3y = 10x + -6y Solving 5x + 3y = 10x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5x + -10x + 3y = 10x + -10x + -6y Combine like terms: 5x + -10x = -5x -5x + 3y = 10x + -10x + -6y Combine like terms: 10x + -10x = 0 -5x + 3y = 0 + -6y -5x + 3y = -6y Add '-3y' to each side of the equation. -5x + 3y + -3y = -6y + -3y Combine like terms: 3y + -3y = 0 -5x + 0 = -6y + -3y -5x = -6y + -3y Combine like terms: -6y + -3y = -9y -5x = -9y Divide each side by '-5'. x = 1.8y Simplifying x = 1.8y
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