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Simplifying -6(x + 6) = -8(x + 7) Reorder the terms: -6(6 + x) = -8(x + 7) (6 * -6 + x * -6) = -8(x + 7) (-36 + -6x) = -8(x + 7) Reorder the terms: -36 + -6x = -8(7 + x) -36 + -6x = (7 * -8 + x * -8) -36 + -6x = (-56 + -8x) Solving -36 + -6x = -56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + -6x + 8x = -56 + -8x + 8x Combine like terms: -6x + 8x = 2x -36 + 2x = -56 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 2x = -56 + 0 -36 + 2x = -56 Add '36' to each side of the equation. -36 + 36 + 2x = -56 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -56 + 36 2x = -56 + 36 Combine like terms: -56 + 36 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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