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Simplifying 3x + 5y + 8y + -3y + 4x + x + y = 0 Reorder the terms: 3x + 4x + x + 5y + 8y + -3y + y = 0 Combine like terms: 3x + 4x = 7x 7x + x + 5y + 8y + -3y + y = 0 Combine like terms: 7x + x = 8x 8x + 5y + 8y + -3y + y = 0 Combine like terms: 5y + 8y = 13y 8x + 13y + -3y + y = 0 Combine like terms: 13y + -3y = 10y 8x + 10y + y = 0 Combine like terms: 10y + y = 11y 8x + 11y = 0 Solving 8x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 8x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 8x + 0 = 0 + -11y 8x = 0 + -11y Remove the zero: 8x = -11y Divide each side by '8'. x = -1.375y Simplifying x = -1.375y
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