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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 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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