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Simplifying 24x + y2 + 3x + 2y2 = 4x + -2 + 2(2x + -5) Reorder the terms: 24x + 3x + y2 + 2y2 = 4x + -2 + 2(2x + -5) Combine like terms: 24x + 3x = 27x 27x + y2 + 2y2 = 4x + -2 + 2(2x + -5) Combine like terms: y2 + 2y2 = 3y2 27x + 3y2 = 4x + -2 + 2(2x + -5) Reorder the terms: 27x + 3y2 = 4x + -2 + 2(-5 + 2x) 27x + 3y2 = 4x + -2 + (-5 * 2 + 2x * 2) 27x + 3y2 = 4x + -2 + (-10 + 4x) Reorder the terms: 27x + 3y2 = -2 + -10 + 4x + 4x Combine like terms: -2 + -10 = -12 27x + 3y2 = -12 + 4x + 4x Combine like terms: 4x + 4x = 8x 27x + 3y2 = -12 + 8x Solving 27x + 3y2 = -12 + 8x 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. 27x + -8x + 3y2 = -12 + 8x + -8x Combine like terms: 27x + -8x = 19x 19x + 3y2 = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 19x + 3y2 = -12 + 0 19x + 3y2 = -12 Add '-3y2' to each side of the equation. 19x + 3y2 + -3y2 = -12 + -3y2 Combine like terms: 3y2 + -3y2 = 0 19x + 0 = -12 + -3y2 19x = -12 + -3y2 Divide each side by '19'. x = -0.6315789474 + -0.1578947368y2 Simplifying x = -0.6315789474 + -0.1578947368y2
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