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Simplifying 2X(X + -5) + 6 = X(2X + 4) + -3 Reorder the terms: 2X(-5 + X) + 6 = X(2X + 4) + -3 (-5 * 2X + X * 2X) + 6 = X(2X + 4) + -3 (-10X + 2X2) + 6 = X(2X + 4) + -3 Reorder the terms: 6 + -10X + 2X2 = X(2X + 4) + -3 Reorder the terms: 6 + -10X + 2X2 = X(4 + 2X) + -3 6 + -10X + 2X2 = (4 * X + 2X * X) + -3 6 + -10X + 2X2 = (4X + 2X2) + -3 Reorder the terms: 6 + -10X + 2X2 = -3 + 4X + 2X2 Add '-2X2' to each side of the equation. 6 + -10X + 2X2 + -2X2 = -3 + 4X + 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 6 + -10X + 0 = -3 + 4X + 2X2 + -2X2 6 + -10X = -3 + 4X + 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 6 + -10X = -3 + 4X + 0 6 + -10X = -3 + 4X Solving 6 + -10X = -3 + 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. 6 + -10X + -4X = -3 + 4X + -4X Combine like terms: -10X + -4X = -14X 6 + -14X = -3 + 4X + -4X Combine like terms: 4X + -4X = 0 6 + -14X = -3 + 0 6 + -14X = -3 Add '-6' to each side of the equation. 6 + -6 + -14X = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -14X = -3 + -6 -14X = -3 + -6 Combine like terms: -3 + -6 = -9 -14X = -9 Divide each side by '-14'. X = 0.6428571429 Simplifying X = 0.6428571429
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