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Simplifying 3(4x + 8) = 4x + 40 Reorder the terms: 3(8 + 4x) = 4x + 40 (8 * 3 + 4x * 3) = 4x + 40 (24 + 12x) = 4x + 40 Reorder the terms: 24 + 12x = 40 + 4x Solving 24 + 12x = 40 + 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. 24 + 12x + -4x = 40 + 4x + -4x Combine like terms: 12x + -4x = 8x 24 + 8x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 8x = 40 + 0 24 + 8x = 40 Add '-24' to each side of the equation. 24 + -24 + 8x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 40 + -24 8x = 40 + -24 Combine like terms: 40 + -24 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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