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Simplifying 4(y + 2x) + 3y + -2x = 0 Reorder the terms: 4(2x + y) + 3y + -2x = 0 (2x * 4 + y * 4) + 3y + -2x = 0 (8x + 4y) + 3y + -2x = 0 Reorder the terms: 8x + -2x + 4y + 3y = 0 Combine like terms: 8x + -2x = 6x 6x + 4y + 3y = 0 Combine like terms: 4y + 3y = 7y 6x + 7y = 0 Solving 6x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 6x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = 0 + -7y 6x = 0 + -7y Remove the zero: 6x = -7y Divide each side by '6'. x = -1.166666667y Simplifying x = -1.166666667y
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