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Simplifying 6y2 + 2x + -24y + 10 = 0 Reorder the terms: 10 + 2x + -24y + 6y2 = 0 Solving 10 + 2x + -24y + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2x + -24y + -10 + 6y2 = 0 + -10 Reorder the terms: 10 + -10 + 2x + -24y + 6y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + -24y + 6y2 = 0 + -10 2x + -24y + 6y2 = 0 + -10 Combine like terms: 0 + -10 = -10 2x + -24y + 6y2 = -10 Add '24y' to each side of the equation. 2x + -24y + 24y + 6y2 = -10 + 24y Combine like terms: -24y + 24y = 0 2x + 0 + 6y2 = -10 + 24y 2x + 6y2 = -10 + 24y Add '-6y2' to each side of the equation. 2x + 6y2 + -6y2 = -10 + 24y + -6y2 Combine like terms: 6y2 + -6y2 = 0 2x + 0 = -10 + 24y + -6y2 2x = -10 + 24y + -6y2 Divide each side by '2'. x = -5 + 12y + -3y2 Simplifying x = -5 + 12y + -3y2
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