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Simplifying -1x + 4y + -7x + 8y + (3x) + -2y = 0 Reorder the terms: -1x + -7x + (3x) + 4y + 8y + -2y = 0 Combine like terms: -1x + -7x = -8x -8x + (3x) + 4y + 8y + -2y = 0 Combine like terms: -8x + (3x) = -5x -5x + 4y + 8y + -2y = 0 Combine like terms: 4y + 8y = 12y -5x + 12y + -2y = 0 Combine like terms: 12y + -2y = 10y -5x + 10y = 0 Solving -5x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. -5x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -5x + 0 = 0 + -10y -5x = 0 + -10y Remove the zero: -5x = -10y Divide each side by '-5'. x = 2y Simplifying x = 2y
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