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Simplifying 21x + -42 + 20 = 4x + 12 Reorder the terms: -42 + 20 + 21x = 4x + 12 Combine like terms: -42 + 20 = -22 -22 + 21x = 4x + 12 Reorder the terms: -22 + 21x = 12 + 4x Solving -22 + 21x = 12 + 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. -22 + 21x + -4x = 12 + 4x + -4x Combine like terms: 21x + -4x = 17x -22 + 17x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 17x = 12 + 0 -22 + 17x = 12 Add '22' to each side of the equation. -22 + 22 + 17x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + 17x = 12 + 22 17x = 12 + 22 Combine like terms: 12 + 22 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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