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Simplifying -8(x + -2) = 3(x + -6) Reorder the terms: -8(-2 + x) = 3(x + -6) (-2 * -8 + x * -8) = 3(x + -6) (16 + -8x) = 3(x + -6) Reorder the terms: 16 + -8x = 3(-6 + x) 16 + -8x = (-6 * 3 + x * 3) 16 + -8x = (-18 + 3x) Solving 16 + -8x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -8x + -3x = -18 + 3x + -3x Combine like terms: -8x + -3x = -11x 16 + -11x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -11x = -18 + 0 16 + -11x = -18 Add '-16' to each side of the equation. 16 + -16 + -11x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = -18 + -16 -11x = -18 + -16 Combine like terms: -18 + -16 = -34 -11x = -34 Divide each side by '-11'. x = 3.090909091 Simplifying x = 3.090909091
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