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Simplifying -8(X + -6) = 3(X + -6) Reorder the terms: -8(-6 + X) = 3(X + -6) (-6 * -8 + X * -8) = 3(X + -6) (48 + -8X) = 3(X + -6) Reorder the terms: 48 + -8X = 3(-6 + X) 48 + -8X = (-6 * 3 + X * 3) 48 + -8X = (-18 + 3X) Solving 48 + -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. 48 + -8X + -3X = -18 + 3X + -3X Combine like terms: -8X + -3X = -11X 48 + -11X = -18 + 3X + -3X Combine like terms: 3X + -3X = 0 48 + -11X = -18 + 0 48 + -11X = -18 Add '-48' to each side of the equation. 48 + -48 + -11X = -18 + -48 Combine like terms: 48 + -48 = 0 0 + -11X = -18 + -48 -11X = -18 + -48 Combine like terms: -18 + -48 = -66 -11X = -66 Divide each side by '-11'. X = 6 Simplifying X = 6
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