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