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Simplifying 5x + -13y = 3x + -8y Solving 5x + -13y = 3x + -8y 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. 5x + -3x + -13y = 3x + -3x + -8y Combine like terms: 5x + -3x = 2x 2x + -13y = 3x + -3x + -8y Combine like terms: 3x + -3x = 0 2x + -13y = 0 + -8y 2x + -13y = -8y Add '13y' to each side of the equation. 2x + -13y + 13y = -8y + 13y Combine like terms: -13y + 13y = 0 2x + 0 = -8y + 13y 2x = -8y + 13y Combine like terms: -8y + 13y = 5y 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y
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