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Simplifying 8(x + 6) = 7(x + -7) Reorder the terms: 8(6 + x) = 7(x + -7) (6 * 8 + x * 8) = 7(x + -7) (48 + 8x) = 7(x + -7) Reorder the terms: 48 + 8x = 7(-7 + x) 48 + 8x = (-7 * 7 + x * 7) 48 + 8x = (-49 + 7x) Solving 48 + 8x = -49 + 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. 48 + 8x + -7x = -49 + 7x + -7x Combine like terms: 8x + -7x = 1x 48 + 1x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 1x = -49 + 0 48 + 1x = -49 Add '-48' to each side of the equation. 48 + -48 + 1x = -49 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = -49 + -48 1x = -49 + -48 Combine like terms: -49 + -48 = -97 1x = -97 Divide each side by '1'. x = -97 Simplifying x = -97
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