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Simplifying 3x + 21 = x + 1 + -3x Reorder the terms: 21 + 3x = x + 1 + -3x Reorder the terms: 21 + 3x = 1 + x + -3x Combine like terms: x + -3x = -2x 21 + 3x = 1 + -2x Solving 21 + 3x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + 3x + 2x = 1 + -2x + 2x Combine like terms: 3x + 2x = 5x 21 + 5x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 5x = 1 + 0 21 + 5x = 1 Add '-21' to each side of the equation. 21 + -21 + 5x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 1 + -21 5x = 1 + -21 Combine like terms: 1 + -21 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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