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Simplifying 4(8 + 3x) = 8 + 4x (8 * 4 + 3x * 4) = 8 + 4x (32 + 12x) = 8 + 4x Solving 32 + 12x = 8 + 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. 32 + 12x + -4x = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x 32 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 8x = 8 + 0 32 + 8x = 8 Add '-32' to each side of the equation. 32 + -32 + 8x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = 8 + -32 8x = 8 + -32 Combine like terms: 8 + -32 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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