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Simplifying 2(-8 + -11x) = -7x + 11(-11 + -2x) (-8 * 2 + -11x * 2) = -7x + 11(-11 + -2x) (-16 + -22x) = -7x + 11(-11 + -2x) -16 + -22x = -7x + (-11 * 11 + -2x * 11) -16 + -22x = -7x + (-121 + -22x) Reorder the terms: -16 + -22x = -121 + -7x + -22x Combine like terms: -7x + -22x = -29x -16 + -22x = -121 + -29x Solving -16 + -22x = -121 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -16 + -22x + 29x = -121 + -29x + 29x Combine like terms: -22x + 29x = 7x -16 + 7x = -121 + -29x + 29x Combine like terms: -29x + 29x = 0 -16 + 7x = -121 + 0 -16 + 7x = -121 Add '16' to each side of the equation. -16 + 16 + 7x = -121 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -121 + 16 7x = -121 + 16 Combine like terms: -121 + 16 = -105 7x = -105 Divide each side by '7'. x = -15 Simplifying x = -15
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