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Simplifying -8(3x + -2) = 2(9 + -11x) Reorder the terms: -8(-2 + 3x) = 2(9 + -11x) (-2 * -8 + 3x * -8) = 2(9 + -11x) (16 + -24x) = 2(9 + -11x) 16 + -24x = (9 * 2 + -11x * 2) 16 + -24x = (18 + -22x) Solving 16 + -24x = 18 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 16 + -24x + 22x = 18 + -22x + 22x Combine like terms: -24x + 22x = -2x 16 + -2x = 18 + -22x + 22x Combine like terms: -22x + 22x = 0 16 + -2x = 18 + 0 16 + -2x = 18 Add '-16' to each side of the equation. 16 + -16 + -2x = 18 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 18 + -16 -2x = 18 + -16 Combine like terms: 18 + -16 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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