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Simplifying 23x + 5 + -2x = 14x + -51 Reorder the terms: 5 + 23x + -2x = 14x + -51 Combine like terms: 23x + -2x = 21x 5 + 21x = 14x + -51 Reorder the terms: 5 + 21x = -51 + 14x Solving 5 + 21x = -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. 5 + 21x + -14x = -51 + 14x + -14x Combine like terms: 21x + -14x = 7x 5 + 7x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 7x = -51 + 0 5 + 7x = -51 Add '-5' to each side of the equation. 5 + -5 + 7x = -51 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -51 + -5 7x = -51 + -5 Combine like terms: -51 + -5 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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