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Simplifying 6x + 8y = 3x + 5y Solving 6x + 8y = 3x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x + 8y = 3x + -3x + 5y Combine like terms: 6x + -3x = 3x 3x + 8y = 3x + -3x + 5y Combine like terms: 3x + -3x = 0 3x + 8y = 0 + 5y 3x + 8y = 5y Add '-8y' to each side of the equation. 3x + 8y + -8y = 5y + -8y Combine like terms: 8y + -8y = 0 3x + 0 = 5y + -8y 3x = 5y + -8y Combine like terms: 5y + -8y = -3y 3x = -3y Divide each side by '3'. x = -1y Simplifying x = -1y
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