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Simplifying 10y(y + 2) + 3x = 5(3 + -1x) Reorder the terms: 10y(2 + y) + 3x = 5(3 + -1x) (2 * 10y + y * 10y) + 3x = 5(3 + -1x) (20y + 10y2) + 3x = 5(3 + -1x) Reorder the terms: 3x + 20y + 10y2 = 5(3 + -1x) 3x + 20y + 10y2 = (3 * 5 + -1x * 5) 3x + 20y + 10y2 = (15 + -5x) Solving 3x + 20y + 10y2 = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3x + 20y + 5x + 10y2 = 15 + -5x + 5x Reorder the terms: 3x + 5x + 20y + 10y2 = 15 + -5x + 5x Combine like terms: 3x + 5x = 8x 8x + 20y + 10y2 = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 8x + 20y + 10y2 = 15 + 0 8x + 20y + 10y2 = 15 Add '-20y' to each side of the equation. 8x + 20y + -20y + 10y2 = 15 + -20y Combine like terms: 20y + -20y = 0 8x + 0 + 10y2 = 15 + -20y 8x + 10y2 = 15 + -20y Add '-10y2' to each side of the equation. 8x + 10y2 + -10y2 = 15 + -20y + -10y2 Combine like terms: 10y2 + -10y2 = 0 8x + 0 = 15 + -20y + -10y2 8x = 15 + -20y + -10y2 Divide each side by '8'. x = 1.875 + -2.5y + -1.25y2 Simplifying x = 1.875 + -2.5y + -1.25y2
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