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Simplifying 3x(4x + -50) + -5X = 20 + -4x * 15 + 11 Reorder the terms: 3x(-50 + 4x) + -5X = 20 + -4x * 15 + 11 (-50 * 3x + 4x * 3x) + -5X = 20 + -4x * 15 + 11 (-150x + 12x2) + -5X = 20 + -4x * 15 + 11 Reorder the terms: -5X + -150x + 12x2 = 20 + -4x * 15 + 11 Reorder the terms for easier multiplication: -5X + -150x + 12x2 = 20 + -4 * 15x + 11 Multiply -4 * 15 -5X + -150x + 12x2 = 20 + -60x + 11 Reorder the terms: -5X + -150x + 12x2 = 20 + 11 + -60x Combine like terms: 20 + 11 = 31 -5X + -150x + 12x2 = 31 + -60x Solving -5X + -150x + 12x2 = 31 + -60x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '150x' to each side of the equation. -5X + -150x + 150x + 12x2 = 31 + -60x + 150x Combine like terms: -150x + 150x = 0 -5X + 0 + 12x2 = 31 + -60x + 150x -5X + 12x2 = 31 + -60x + 150x Combine like terms: -60x + 150x = 90x -5X + 12x2 = 31 + 90x Add '-12x2' to each side of the equation. -5X + 12x2 + -12x2 = 31 + 90x + -12x2 Combine like terms: 12x2 + -12x2 = 0 -5X + 0 = 31 + 90x + -12x2 -5X = 31 + 90x + -12x2 Divide each side by '-5'. X = -6.2 + -18x + 2.4x2 Simplifying X = -6.2 + -18x + 2.4x2
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