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Simplifying -6(-8 + 2x) = -7(7x + 9) (-8 * -6 + 2x * -6) = -7(7x + 9) (48 + -12x) = -7(7x + 9) Reorder the terms: 48 + -12x = -7(9 + 7x) 48 + -12x = (9 * -7 + 7x * -7) 48 + -12x = (-63 + -49x) Solving 48 + -12x = -63 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 48 + -12x + 49x = -63 + -49x + 49x Combine like terms: -12x + 49x = 37x 48 + 37x = -63 + -49x + 49x Combine like terms: -49x + 49x = 0 48 + 37x = -63 + 0 48 + 37x = -63 Add '-48' to each side of the equation. 48 + -48 + 37x = -63 + -48 Combine like terms: 48 + -48 = 0 0 + 37x = -63 + -48 37x = -63 + -48 Combine like terms: -63 + -48 = -111 37x = -111 Divide each side by '37'. x = -3 Simplifying x = -3
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