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Simplifying -113 = -7x + -6(-3x + 6) Reorder the terms: -113 = -7x + -6(6 + -3x) -113 = -7x + (6 * -6 + -3x * -6) -113 = -7x + (-36 + 18x) Reorder the terms: -113 = -36 + -7x + 18x Combine like terms: -7x + 18x = 11x -113 = -36 + 11x Solving -113 = -36 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -113 + -11x = -36 + 11x + -11x Combine like terms: 11x + -11x = 0 -113 + -11x = -36 + 0 -113 + -11x = -36 Add '113' to each side of the equation. -113 + 113 + -11x = -36 + 113 Combine like terms: -113 + 113 = 0 0 + -11x = -36 + 113 -11x = -36 + 113 Combine like terms: -36 + 113 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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