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Simplifying 4[5 + -2(X + 3) + -4] + 5(X + -4) = 0 Reorder the terms: 4[5 + -2(3 + X) + -4] + 5(X + -4) = 0 4[5 + (3 * -2 + X * -2) + -4] + 5(X + -4) = 0 4[5 + (-6 + -2X) + -4] + 5(X + -4) = 0 Reorder the terms: 4[5 + -6 + -4 + -2X] + 5(X + -4) = 0 Combine like terms: 5 + -6 = -1 4[-1 + -4 + -2X] + 5(X + -4) = 0 Combine like terms: -1 + -4 = -5 4[-5 + -2X] + 5(X + -4) = 0 [-5 * 4 + -2X * 4] + 5(X + -4) = 0 [-20 + -8X] + 5(X + -4) = 0 Reorder the terms: -20 + -8X + 5(-4 + X) = 0 -20 + -8X + (-4 * 5 + X * 5) = 0 -20 + -8X + (-20 + 5X) = 0 Reorder the terms: -20 + -20 + -8X + 5X = 0 Combine like terms: -20 + -20 = -40 -40 + -8X + 5X = 0 Combine like terms: -8X + 5X = -3X -40 + -3X = 0 Solving -40 + -3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3X = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -3X = 0 + 40 -3X = 0 + 40 Combine like terms: 0 + 40 = 40 -3X = 40 Divide each side by '-3'. X = -13.33333333 Simplifying X = -13.33333333
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