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Simplifying 6x + 21 = 14x + -51 Reorder the terms: 21 + 6x = 14x + -51 Reorder the terms: 21 + 6x = -51 + 14x Solving 21 + 6x = -51 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 21 + 6x + -14x = -51 + 14x + -14x Combine like terms: 6x + -14x = -8x 21 + -8x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -8x = -51 + 0 21 + -8x = -51 Add '-21' to each side of the equation. 21 + -21 + -8x = -51 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -51 + -21 -8x = -51 + -21 Combine like terms: -51 + -21 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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