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Simplifying 3x + -1y + 6 = 8x + y2 + 24 Reorder the terms: 6 + 3x + -1y = 8x + y2 + 24 Reorder the terms: 6 + 3x + -1y = 24 + 8x + y2 Solving 6 + 3x + -1y = 24 + 8x + y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 3x + -8x + -1y = 24 + 8x + -8x + y2 Combine like terms: 3x + -8x = -5x 6 + -5x + -1y = 24 + 8x + -8x + y2 Combine like terms: 8x + -8x = 0 6 + -5x + -1y = 24 + 0 + y2 6 + -5x + -1y = 24 + y2 Add '-6' to each side of the equation. 6 + -5x + -6 + -1y = 24 + -6 + y2 Reorder the terms: 6 + -6 + -5x + -1y = 24 + -6 + y2 Combine like terms: 6 + -6 = 0 0 + -5x + -1y = 24 + -6 + y2 -5x + -1y = 24 + -6 + y2 Combine like terms: 24 + -6 = 18 -5x + -1y = 18 + y2 Add 'y' to each side of the equation. -5x + -1y + y = 18 + y + y2 Combine like terms: -1y + y = 0 -5x + 0 = 18 + y + y2 -5x = 18 + y + y2 Divide each side by '-5'. x = -3.6 + -0.2y + -0.2y2 Simplifying x = -3.6 + -0.2y + -0.2y2
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