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