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Simplifying (5y2 + 7x + 3) + -1(-1y + -2 + -3y2) = 0 Reorder the terms: (3 + 7x + 5y2) + -1(-1y + -2 + -3y2) = 0 Remove parenthesis around (3 + 7x + 5y2) 3 + 7x + 5y2 + -1(-1y + -2 + -3y2) = 0 Reorder the terms: 3 + 7x + 5y2 + -1(-2 + -1y + -3y2) = 0 3 + 7x + 5y2 + (-2 * -1 + -1y * -1 + -3y2 * -1) = 0 3 + 7x + 5y2 + (2 + 1y + 3y2) = 0 Reorder the terms: 3 + 2 + 7x + 1y + 5y2 + 3y2 = 0 Combine like terms: 3 + 2 = 5 5 + 7x + 1y + 5y2 + 3y2 = 0 Combine like terms: 5y2 + 3y2 = 8y2 5 + 7x + 1y + 8y2 = 0 Solving 5 + 7x + 1y + 8y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7x + 1y + -5 + 8y2 = 0 + -5 Reorder the terms: 5 + -5 + 7x + 1y + 8y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x + 1y + 8y2 = 0 + -5 7x + 1y + 8y2 = 0 + -5 Combine like terms: 0 + -5 = -5 7x + 1y + 8y2 = -5 Add '-1y' to each side of the equation. 7x + 1y + -1y + 8y2 = -5 + -1y Combine like terms: 1y + -1y = 0 7x + 0 + 8y2 = -5 + -1y 7x + 8y2 = -5 + -1y Add '-8y2' to each side of the equation. 7x + 8y2 + -8y2 = -5 + -1y + -8y2 Combine like terms: 8y2 + -8y2 = 0 7x + 0 = -5 + -1y + -8y2 7x = -5 + -1y + -8y2 Divide each side by '7'. x = -0.7142857143 + -0.1428571429y + -1.142857143y2 Simplifying x = -0.7142857143 + -0.1428571429y + -1.142857143y2
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