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Simplifying 8(x + 8) = -8(x + -6) Reorder the terms: 8(8 + x) = -8(x + -6) (8 * 8 + x * 8) = -8(x + -6) (64 + 8x) = -8(x + -6) Reorder the terms: 64 + 8x = -8(-6 + x) 64 + 8x = (-6 * -8 + x * -8) 64 + 8x = (48 + -8x) Solving 64 + 8x = 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. 64 + 8x + 8x = 48 + -8x + 8x Combine like terms: 8x + 8x = 16x 64 + 16x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 64 + 16x = 48 + 0 64 + 16x = 48 Add '-64' to each side of the equation. 64 + -64 + 16x = 48 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 48 + -64 16x = 48 + -64 Combine like terms: 48 + -64 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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