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Simplifying 4x + 10y2 + -3x + 21y2 = 0 Reorder the terms: 4x + -3x + 10y2 + 21y2 = 0 Combine like terms: 4x + -3x = 1x 1x + 10y2 + 21y2 = 0 Combine like terms: 10y2 + 21y2 = 31y2 1x + 31y2 = 0 Solving 1x + 31y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31y2' to each side of the equation. 1x + 31y2 + -31y2 = 0 + -31y2 Combine like terms: 31y2 + -31y2 = 0 1x + 0 = 0 + -31y2 1x = 0 + -31y2 Remove the zero: 1x = -31y2 Divide each side by '1'. x = -31y2 Simplifying x = -31y2
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