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Simplifying (5x + -7y) + (10x + 3y) = 17 + 17 Remove parenthesis around (5x + -7y) 5x + -7y + (10x + 3y) = 17 + 17 Remove parenthesis around (10x + 3y) 5x + -7y + 10x + 3y = 17 + 17 Reorder the terms: 5x + 10x + -7y + 3y = 17 + 17 Combine like terms: 5x + 10x = 15x 15x + -7y + 3y = 17 + 17 Combine like terms: -7y + 3y = -4y 15x + -4y = 17 + 17 Combine like terms: 17 + 17 = 34 15x + -4y = 34 Solving 15x + -4y = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 15x + -4y + 4y = 34 + 4y Combine like terms: -4y + 4y = 0 15x + 0 = 34 + 4y 15x = 34 + 4y Divide each side by '15'. x = 2.266666667 + 0.2666666667y Simplifying x = 2.266666667 + 0.2666666667y
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