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Simplifying 3x + 21 = 14x + -84 Reorder the terms: 21 + 3x = 14x + -84 Reorder the terms: 21 + 3x = -84 + 14x Solving 21 + 3x = -84 + 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 + 3x + -14x = -84 + 14x + -14x Combine like terms: 3x + -14x = -11x 21 + -11x = -84 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -11x = -84 + 0 21 + -11x = -84 Add '-21' to each side of the equation. 21 + -21 + -11x = -84 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = -84 + -21 -11x = -84 + -21 Combine like terms: -84 + -21 = -105 -11x = -105 Divide each side by '-11'. x = 9.545454545 Simplifying x = 9.545454545
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