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Simplifying 5x + 10y + x + 3x + -1y + -2x = 0 Reorder the terms: 5x + x + 3x + -2x + 10y + -1y = 0 Combine like terms: 5x + x = 6x 6x + 3x + -2x + 10y + -1y = 0 Combine like terms: 6x + 3x = 9x 9x + -2x + 10y + -1y = 0 Combine like terms: 9x + -2x = 7x 7x + 10y + -1y = 0 Combine like terms: 10y + -1y = 9y 7x + 9y = 0 Solving 7x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 7x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 7x + 0 = 0 + -9y 7x = 0 + -9y Remove the zero: 7x = -9y Divide each side by '7'. x = -1.285714286y Simplifying x = -1.285714286y
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