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Simplifying 4(x + 1) = 8(8 + -1x) Reorder the terms: 4(1 + x) = 8(8 + -1x) (1 * 4 + x * 4) = 8(8 + -1x) (4 + 4x) = 8(8 + -1x) 4 + 4x = (8 * 8 + -1x * 8) 4 + 4x = (64 + -8x) Solving 4 + 4x = 64 + -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. 4 + 4x + 8x = 64 + -8x + 8x Combine like terms: 4x + 8x = 12x 4 + 12x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 12x = 64 + 0 4 + 12x = 64 Add '-4' to each side of the equation. 4 + -4 + 12x = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 64 + -4 12x = 64 + -4 Combine like terms: 64 + -4 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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