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Simplifying 2x + -1(4 + -1y) * y = y * y + -3(x + 7) Reorder the terms for easier multiplication: 2x + -1y(4 + -1y) = y * y + -3(x + 7) 2x + (4 * -1y + -1y * -1y) = y * y + -3(x + 7) 2x + (-4y + 1y2) = y * y + -3(x + 7) Multiply y * y 2x + -4y + 1y2 = y2 + -3(x + 7) Reorder the terms: 2x + -4y + 1y2 = y2 + -3(7 + x) 2x + -4y + 1y2 = y2 + (7 * -3 + x * -3) 2x + -4y + 1y2 = y2 + (-21 + -3x) Reorder the terms: 2x + -4y + 1y2 = -21 + -3x + y2 Solving 2x + -4y + 1y2 = -21 + -3x + y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2x + -4y + 3x + 1y2 = -21 + -3x + 3x + y2 Reorder the terms: 2x + 3x + -4y + 1y2 = -21 + -3x + 3x + y2 Combine like terms: 2x + 3x = 5x 5x + -4y + 1y2 = -21 + -3x + 3x + y2 Combine like terms: -3x + 3x = 0 5x + -4y + 1y2 = -21 + 0 + y2 5x + -4y + 1y2 = -21 + y2 Add '4y' to each side of the equation. 5x + -4y + 4y + 1y2 = -21 + 4y + y2 Combine like terms: -4y + 4y = 0 5x + 0 + 1y2 = -21 + 4y + y2 5x + 1y2 = -21 + 4y + y2 Add '-1y2' to each side of the equation. 5x + 1y2 + -1y2 = -21 + 4y + y2 + -1y2 Combine like terms: 1y2 + -1y2 = 0 5x + 0 = -21 + 4y + y2 + -1y2 5x = -21 + 4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 5x = -21 + 4y + 0 5x = -21 + 4y Divide each side by '5'. x = -4.2 + 0.8y Simplifying x = -4.2 + 0.8y
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