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Simplifying 8(4x + 1) = 4x + -8x Reorder the terms: 8(1 + 4x) = 4x + -8x (1 * 8 + 4x * 8) = 4x + -8x (8 + 32x) = 4x + -8x Combine like terms: 4x + -8x = -4x 8 + 32x = -4x Solving 8 + 32x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 32x + 4x = -4x + 4x Combine like terms: 32x + 4x = 36x 8 + 36x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + 36x = 0 Add '-8' to each side of the equation. 8 + -8 + 36x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 36x = 0 + -8 36x = 0 + -8 Combine like terms: 0 + -8 = -8 36x = -8 Divide each side by '36'. x = -0.2222222222 Simplifying x = -0.2222222222
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