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Simplifying 4(3x + 1) = 4x + 20 Reorder the terms: 4(1 + 3x) = 4x + 20 (1 * 4 + 3x * 4) = 4x + 20 (4 + 12x) = 4x + 20 Reorder the terms: 4 + 12x = 20 + 4x Solving 4 + 12x = 20 + 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. 4 + 12x + -4x = 20 + 4x + -4x Combine like terms: 12x + -4x = 8x 4 + 8x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 8x = 20 + 0 4 + 8x = 20 Add '-4' to each side of the equation. 4 + -4 + 8x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 20 + -4 8x = 20 + -4 Combine like terms: 20 + -4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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