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Simplifying 3(2x + -1y) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 0 (2x * 3 + -1y * 3) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 0 (6x + -3y) + 3x + (x + -3y) * 2 + -2x + 5(x + -1y) = 0 Reorder the terms for easier multiplication: 6x + -3y + 3x + 2(x + -3y) + -2x + 5(x + -1y) = 0 6x + -3y + 3x + (x * 2 + -3y * 2) + -2x + 5(x + -1y) = 0 6x + -3y + 3x + (2x + -6y) + -2x + 5(x + -1y) = 0 6x + -3y + 3x + 2x + -6y + -2x + (x * 5 + -1y * 5) = 0 6x + -3y + 3x + 2x + -6y + -2x + (5x + -5y) = 0 Reorder the terms: 6x + 3x + 2x + -2x + 5x + -3y + -6y + -5y = 0 Combine like terms: 6x + 3x = 9x 9x + 2x + -2x + 5x + -3y + -6y + -5y = 0 Combine like terms: 9x + 2x = 11x 11x + -2x + 5x + -3y + -6y + -5y = 0 Combine like terms: 11x + -2x = 9x 9x + 5x + -3y + -6y + -5y = 0 Combine like terms: 9x + 5x = 14x 14x + -3y + -6y + -5y = 0 Combine like terms: -3y + -6y = -9y 14x + -9y + -5y = 0 Combine like terms: -9y + -5y = -14y 14x + -14y = 0 Solving 14x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 14x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 14x + 0 = 0 + 14y 14x = 0 + 14y Remove the zero: 14x = 14y Divide each side by '14'. x = y Simplifying x = y
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