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Simplifying 6x + 21 = 5x + -51 Reorder the terms: 21 + 6x = 5x + -51 Reorder the terms: 21 + 6x = -51 + 5x Solving 21 + 6x = -51 + 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. 21 + 6x + -5x = -51 + 5x + -5x Combine like terms: 6x + -5x = 1x 21 + 1x = -51 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 1x = -51 + 0 21 + 1x = -51 Add '-21' to each side of the equation. 21 + -21 + 1x = -51 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -51 + -21 1x = -51 + -21 Combine like terms: -51 + -21 = -72 1x = -72 Divide each side by '1'. x = -72 Simplifying x = -72
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