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Simplifying 4(2 + 3x) = 8x + 4 (2 * 4 + 3x * 4) = 8x + 4 (8 + 12x) = 8x + 4 Reorder the terms: 8 + 12x = 4 + 8x Solving 8 + 12x = 4 + 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. 8 + 12x + -8x = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x 8 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 4x = 4 + 0 8 + 4x = 4 Add '-8' to each side of the equation. 8 + -8 + 4x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 4 + -8 4x = 4 + -8 Combine like terms: 4 + -8 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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