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Simplifying 11 + -42 = 5(X + -1) + -6 Combine like terms: 11 + -42 = -31 -31 = 5(X + -1) + -6 Reorder the terms: -31 = 5(-1 + X) + -6 -31 = (-1 * 5 + X * 5) + -6 -31 = (-5 + 5X) + -6 Reorder the terms: -31 = -5 + -6 + 5X Combine like terms: -5 + -6 = -11 -31 = -11 + 5X Solving -31 = -11 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -31 + -5X = -11 + 5X + -5X Combine like terms: 5X + -5X = 0 -31 + -5X = -11 + 0 -31 + -5X = -11 Add '31' to each side of the equation. -31 + 31 + -5X = -11 + 31 Combine like terms: -31 + 31 = 0 0 + -5X = -11 + 31 -5X = -11 + 31 Combine like terms: -11 + 31 = 20 -5X = 20 Divide each side by '-5'. X = -4 Simplifying X = -4
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