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Simplifying 2x + 5y + -4x + -12y + 8x + 8y = 0 Reorder the terms: 2x + -4x + 8x + 5y + -12y + 8y = 0 Combine like terms: 2x + -4x = -2x -2x + 8x + 5y + -12y + 8y = 0 Combine like terms: -2x + 8x = 6x 6x + 5y + -12y + 8y = 0 Combine like terms: 5y + -12y = -7y 6x + -7y + 8y = 0 Combine like terms: -7y + 8y = 1y 6x + 1y = 0 Solving 6x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 6x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 6x + 0 = 0 + -1y 6x = 0 + -1y Remove the zero: 6x = -1y Divide each side by '6'. x = -0.1666666667y Simplifying x = -0.1666666667y
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