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Simplifying 2x + 5y(12y + 4) = 9 + -4x Reorder the terms: 2x + 5y(4 + 12y) = 9 + -4x 2x + (4 * 5y + 12y * 5y) = 9 + -4x 2x + (20y + 60y2) = 9 + -4x Solving 2x + 20y + 60y2 = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2x + 20y + 4x + 60y2 = 9 + -4x + 4x Reorder the terms: 2x + 4x + 20y + 60y2 = 9 + -4x + 4x Combine like terms: 2x + 4x = 6x 6x + 20y + 60y2 = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 6x + 20y + 60y2 = 9 + 0 6x + 20y + 60y2 = 9 Add '-20y' to each side of the equation. 6x + 20y + -20y + 60y2 = 9 + -20y Combine like terms: 20y + -20y = 0 6x + 0 + 60y2 = 9 + -20y 6x + 60y2 = 9 + -20y Add '-60y2' to each side of the equation. 6x + 60y2 + -60y2 = 9 + -20y + -60y2 Combine like terms: 60y2 + -60y2 = 0 6x + 0 = 9 + -20y + -60y2 6x = 9 + -20y + -60y2 Divide each side by '6'. x = 1.5 + -3.333333333y + -10y2 Simplifying x = 1.5 + -3.333333333y + -10y2
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