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Simplifying 3x + 1 = 5x + 21 Reorder the terms: 1 + 3x = 5x + 21 Reorder the terms: 1 + 3x = 21 + 5x Solving 1 + 3x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = 21 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = 21 + 0 1 + -2x = 21 Add '-1' to each side of the equation. 1 + -1 + -2x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 21 + -1 -2x = 21 + -1 Combine like terms: 21 + -1 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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