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Simplifying -6x + 4(-2x + 8y) + -2y + 4 = 0 -6x + (-2x * 4 + 8y * 4) + -2y + 4 = 0 -6x + (-8x + 32y) + -2y + 4 = 0 Reorder the terms: 4 + -6x + -8x + 32y + -2y = 0 Combine like terms: -6x + -8x = -14x 4 + -14x + 32y + -2y = 0 Combine like terms: 32y + -2y = 30y 4 + -14x + 30y = 0 Solving 4 + -14x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -14x + -4 + 30y = 0 + -4 Reorder the terms: 4 + -4 + -14x + 30y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -14x + 30y = 0 + -4 -14x + 30y = 0 + -4 Combine like terms: 0 + -4 = -4 -14x + 30y = -4 Add '-30y' to each side of the equation. -14x + 30y + -30y = -4 + -30y Combine like terms: 30y + -30y = 0 -14x + 0 = -4 + -30y -14x = -4 + -30y Divide each side by '-14'. x = 0.2857142857 + 2.142857143y Simplifying x = 0.2857142857 + 2.142857143y
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