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Simplifying -108 = -4x + -7(x + 6) Reorder the terms: -108 = -4x + -7(6 + x) -108 = -4x + (6 * -7 + x * -7) -108 = -4x + (-42 + -7x) Reorder the terms: -108 = -42 + -4x + -7x Combine like terms: -4x + -7x = -11x -108 = -42 + -11x Solving -108 = -42 + -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. -108 + 11x = -42 + -11x + 11x Combine like terms: -11x + 11x = 0 -108 + 11x = -42 + 0 -108 + 11x = -42 Add '108' to each side of the equation. -108 + 108 + 11x = -42 + 108 Combine like terms: -108 + 108 = 0 0 + 11x = -42 + 108 11x = -42 + 108 Combine like terms: -42 + 108 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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