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Simplifying 8(x + 8) = 7(x + -8) + c Reorder the terms: 8(8 + x) = 7(x + -8) + c (8 * 8 + x * 8) = 7(x + -8) + c (64 + 8x) = 7(x + -8) + c Reorder the terms: 64 + 8x = 7(-8 + x) + c 64 + 8x = (-8 * 7 + x * 7) + c 64 + 8x = (-56 + 7x) + c Reorder the terms: 64 + 8x = -56 + c + 7x Solving 64 + 8x = -56 + c + 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. 64 + 8x + -7x = -56 + c + 7x + -7x Combine like terms: 8x + -7x = 1x 64 + 1x = -56 + c + 7x + -7x Combine like terms: 7x + -7x = 0 64 + 1x = -56 + c + 0 64 + 1x = -56 + c Add '-64' to each side of the equation. 64 + -64 + 1x = -56 + -64 + c Combine like terms: 64 + -64 = 0 0 + 1x = -56 + -64 + c 1x = -56 + -64 + c Combine like terms: -56 + -64 = -120 1x = -120 + c Divide each side by '1'. x = -120 + c Simplifying x = -120 + c
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