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Simplifying 3(4x + 20) = 42x Reorder the terms: 3(20 + 4x) = 42x (20 * 3 + 4x * 3) = 42x (60 + 12x) = 42x Solving 60 + 12x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 60 + 12x + -42x = 42x + -42x Combine like terms: 12x + -42x = -30x 60 + -30x = 42x + -42x Combine like terms: 42x + -42x = 0 60 + -30x = 0 Add '-60' to each side of the equation. 60 + -60 + -30x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -30x = 0 + -60 -30x = 0 + -60 Combine like terms: 0 + -60 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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