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Simplifying 10x + -5y = 2x + -3y Solving 10x + -5y = 2x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10x + -2x + -5y = 2x + -2x + -3y Combine like terms: 10x + -2x = 8x 8x + -5y = 2x + -2x + -3y Combine like terms: 2x + -2x = 0 8x + -5y = 0 + -3y 8x + -5y = -3y Add '5y' to each side of the equation. 8x + -5y + 5y = -3y + 5y Combine like terms: -5y + 5y = 0 8x + 0 = -3y + 5y 8x = -3y + 5y Combine like terms: -3y + 5y = 2y 8x = 2y Divide each side by '8'. x = 0.25y Simplifying x = 0.25y
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