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Simplifying -6(x + -6) = -7(x + 2) Reorder the terms: -6(-6 + x) = -7(x + 2) (-6 * -6 + x * -6) = -7(x + 2) (36 + -6x) = -7(x + 2) Reorder the terms: 36 + -6x = -7(2 + x) 36 + -6x = (2 * -7 + x * -7) 36 + -6x = (-14 + -7x) Solving 36 + -6x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + -6x + 7x = -14 + -7x + 7x Combine like terms: -6x + 7x = 1x 36 + 1x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + 1x = -14 + 0 36 + 1x = -14 Add '-36' to each side of the equation. 36 + -36 + 1x = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = -14 + -36 1x = -14 + -36 Combine like terms: -14 + -36 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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