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Simplifying 2x + 2y + -15x + 15y = -17x + 17y Reorder the terms: 2x + -15x + 2y + 15y = -17x + 17y Combine like terms: 2x + -15x = -13x -13x + 2y + 15y = -17x + 17y Combine like terms: 2y + 15y = 17y -13x + 17y = -17x + 17y Add '-17y' to each side of the equation. -13x + 17y + -17y = -17x + 17y + -17y Combine like terms: 17y + -17y = 0 -13x + 0 = -17x + 17y + -17y -13x = -17x + 17y + -17y Combine like terms: 17y + -17y = 0 -13x = -17x + 0 -13x = -17x Solving -13x = -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -13x + 17x = -17x + 17x Combine like terms: -13x + 17x = 4x 4x = -17x + 17x Combine like terms: -17x + 17x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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