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Simplifying 8(2 + 8x) = -40 + 8x (2 * 8 + 8x * 8) = -40 + 8x (16 + 64x) = -40 + 8x Solving 16 + 64x = -40 + 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. 16 + 64x + -8x = -40 + 8x + -8x Combine like terms: 64x + -8x = 56x 16 + 56x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 56x = -40 + 0 16 + 56x = -40 Add '-16' to each side of the equation. 16 + -16 + 56x = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 56x = -40 + -16 56x = -40 + -16 Combine like terms: -40 + -16 = -56 56x = -56 Divide each side by '56'. x = -1 Simplifying x = -1
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