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Simplifying 6x + 4(3y + 2x) + 5y = 0 Reorder the terms: 6x + 4(2x + 3y) + 5y = 0 6x + (2x * 4 + 3y * 4) + 5y = 0 6x + (8x + 12y) + 5y = 0 Combine like terms: 6x + 8x = 14x 14x + 12y + 5y = 0 Combine like terms: 12y + 5y = 17y 14x + 17y = 0 Solving 14x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. 14x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 14x + 0 = 0 + -17y 14x = 0 + -17y Remove the zero: 14x = -17y Divide each side by '14'. x = -1.214285714y Simplifying x = -1.214285714y
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