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Simplifying (5x + -7y + 10) + -12x + -7y + 15 = 0 Reorder the terms: (10 + 5x + -7y) + -12x + -7y + 15 = 0 Remove parenthesis around (10 + 5x + -7y) 10 + 5x + -7y + -12x + -7y + 15 = 0 Reorder the terms: 10 + 15 + 5x + -12x + -7y + -7y = 0 Combine like terms: 10 + 15 = 25 25 + 5x + -12x + -7y + -7y = 0 Combine like terms: 5x + -12x = -7x 25 + -7x + -7y + -7y = 0 Combine like terms: -7y + -7y = -14y 25 + -7x + -14y = 0 Solving 25 + -7x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -7x + -25 + -14y = 0 + -25 Reorder the terms: 25 + -25 + -7x + -14y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -7x + -14y = 0 + -25 -7x + -14y = 0 + -25 Combine like terms: 0 + -25 = -25 -7x + -14y = -25 Add '14y' to each side of the equation. -7x + -14y + 14y = -25 + 14y Combine like terms: -14y + 14y = 0 -7x + 0 = -25 + 14y -7x = -25 + 14y Divide each side by '-7'. x = 3.571428571 + -2y Simplifying x = 3.571428571 + -2y
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