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Simplifying 8(4x + 8) = -1(x + 2) Reorder the terms: 8(8 + 4x) = -1(x + 2) (8 * 8 + 4x * 8) = -1(x + 2) (64 + 32x) = -1(x + 2) Reorder the terms: 64 + 32x = -1(2 + x) 64 + 32x = (2 * -1 + x * -1) 64 + 32x = (-2 + -1x) Solving 64 + 32x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 64 + 32x + x = -2 + -1x + x Combine like terms: 32x + x = 33x 64 + 33x = -2 + -1x + x Combine like terms: -1x + x = 0 64 + 33x = -2 + 0 64 + 33x = -2 Add '-64' to each side of the equation. 64 + -64 + 33x = -2 + -64 Combine like terms: 64 + -64 = 0 0 + 33x = -2 + -64 33x = -2 + -64 Combine like terms: -2 + -64 = -66 33x = -66 Divide each side by '33'. x = -2 Simplifying x = -2
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