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Simplifying 3x + 5y + -1x + 4x + 2x + -7y + 6x = 0 Reorder the terms: 3x + -1x + 4x + 2x + 6x + 5y + -7y = 0 Combine like terms: 3x + -1x = 2x 2x + 4x + 2x + 6x + 5y + -7y = 0 Combine like terms: 2x + 4x = 6x 6x + 2x + 6x + 5y + -7y = 0 Combine like terms: 6x + 2x = 8x 8x + 6x + 5y + -7y = 0 Combine like terms: 8x + 6x = 14x 14x + 5y + -7y = 0 Combine like terms: 5y + -7y = -2y 14x + -2y = 0 Solving 14x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 14x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 14x + 0 = 0 + 2y 14x = 0 + 2y Remove the zero: 14x = 2y Divide each side by '14'. x = 0.1428571429y Simplifying x = 0.1428571429y
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