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Simplifying -6(11 + -2x) = 7(-2 + -2x) (11 * -6 + -2x * -6) = 7(-2 + -2x) (-66 + 12x) = 7(-2 + -2x) -66 + 12x = (-2 * 7 + -2x * 7) -66 + 12x = (-14 + -14x) Solving -66 + 12x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -66 + 12x + 14x = -14 + -14x + 14x Combine like terms: 12x + 14x = 26x -66 + 26x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 -66 + 26x = -14 + 0 -66 + 26x = -14 Add '66' to each side of the equation. -66 + 66 + 26x = -14 + 66 Combine like terms: -66 + 66 = 0 0 + 26x = -14 + 66 26x = -14 + 66 Combine like terms: -14 + 66 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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