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Simplifying 3x + 21 = 7x + 1 Reorder the terms: 21 + 3x = 7x + 1 Reorder the terms: 21 + 3x = 1 + 7x Solving 21 + 3x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 3x + -7x = 1 + 7x + -7x Combine like terms: 3x + -7x = -4x 21 + -4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -4x = 1 + 0 21 + -4x = 1 Add '-21' to each side of the equation. 21 + -21 + -4x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 1 + -21 -4x = 1 + -21 Combine like terms: 1 + -21 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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