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Simplifying 4(1 + 3x) = 8x + 8 (1 * 4 + 3x * 4) = 8x + 8 (4 + 12x) = 8x + 8 Reorder the terms: 4 + 12x = 8 + 8x Solving 4 + 12x = 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. 4 + 12x + -8x = 8 + 8x + -8x Combine like terms: 12x + -8x = 4x 4 + 4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 4x = 8 + 0 4 + 4x = 8 Add '-4' to each side of the equation. 4 + -4 + 4x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 8 + -4 4x = 8 + -4 Combine like terms: 8 + -4 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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