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Simplifying 8(4x + 2) = -8 + 8x Reorder the terms: 8(2 + 4x) = -8 + 8x (2 * 8 + 4x * 8) = -8 + 8x (16 + 32x) = -8 + 8x Solving 16 + 32x = -8 + 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 + 32x + -8x = -8 + 8x + -8x Combine like terms: 32x + -8x = 24x 16 + 24x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 24x = -8 + 0 16 + 24x = -8 Add '-16' to each side of the equation. 16 + -16 + 24x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 24x = -8 + -16 24x = -8 + -16 Combine like terms: -8 + -16 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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