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Simplifying 23x + 51 = 10x + -14 Reorder the terms: 51 + 23x = 10x + -14 Reorder the terms: 51 + 23x = -14 + 10x Solving 51 + 23x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 51 + 23x + -10x = -14 + 10x + -10x Combine like terms: 23x + -10x = 13x 51 + 13x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 51 + 13x = -14 + 0 51 + 13x = -14 Add '-51' to each side of the equation. 51 + -51 + 13x = -14 + -51 Combine like terms: 51 + -51 = 0 0 + 13x = -14 + -51 13x = -14 + -51 Combine like terms: -14 + -51 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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