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Simplifying 5x + -3y + -1x + 2y + -6y + 9.5y = 0 Reorder the terms: 5x + -1x + -3y + 2y + -6y + 9.5y = 0 Combine like terms: 5x + -1x = 4x 4x + -3y + 2y + -6y + 9.5y = 0 Combine like terms: -3y + 2y = -1y 4x + -1y + -6y + 9.5y = 0 Combine like terms: -1y + -6y = -7y 4x + -7y + 9.5y = 0 Combine like terms: -7y + 9.5y = 2.5y 4x + 2.5y = 0 Solving 4x + 2.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5y' to each side of the equation. 4x + 2.5y + -2.5y = 0 + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 4x + 0.0 = 0 + -2.5y 4x = 0 + -2.5y Remove the zero: 4x = -2.5y Divide each side by '4'. x = -0.625y Simplifying x = -0.625y
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