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Simplifying 17x + -17y = 15x + -10y + 25 Reorder the terms: 17x + -17y = 25 + 15x + -10y Solving 17x + -17y = 25 + 15x + -10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17x + -15x + -17y = 25 + 15x + -15x + -10y Combine like terms: 17x + -15x = 2x 2x + -17y = 25 + 15x + -15x + -10y Combine like terms: 15x + -15x = 0 2x + -17y = 25 + 0 + -10y 2x + -17y = 25 + -10y Add '17y' to each side of the equation. 2x + -17y + 17y = 25 + -10y + 17y Combine like terms: -17y + 17y = 0 2x + 0 = 25 + -10y + 17y 2x = 25 + -10y + 17y Combine like terms: -10y + 17y = 7y 2x = 25 + 7y Divide each side by '2'. x = 12.5 + 3.5y Simplifying x = 12.5 + 3.5y
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