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Simplifying 3x + 21 = 5 + x + -8 Reorder the terms: 21 + 3x = 5 + x + -8 Reorder the terms: 21 + 3x = 5 + -8 + x Combine like terms: 5 + -8 = -3 21 + 3x = -3 + x Solving 21 + 3x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 3x + -1x = -3 + x + -1x Combine like terms: 3x + -1x = 2x 21 + 2x = -3 + x + -1x Combine like terms: x + -1x = 0 21 + 2x = -3 + 0 21 + 2x = -3 Add '-21' to each side of the equation. 21 + -21 + 2x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = -3 + -21 2x = -3 + -21 Combine like terms: -3 + -21 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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