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Simplifying 5x + 23 = 14x + -54 Reorder the terms: 23 + 5x = 14x + -54 Reorder the terms: 23 + 5x = -54 + 14x Solving 23 + 5x = -54 + 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. 23 + 5x + -14x = -54 + 14x + -14x Combine like terms: 5x + -14x = -9x 23 + -9x = -54 + 14x + -14x Combine like terms: 14x + -14x = 0 23 + -9x = -54 + 0 23 + -9x = -54 Add '-23' to each side of the equation. 23 + -23 + -9x = -54 + -23 Combine like terms: 23 + -23 = 0 0 + -9x = -54 + -23 -9x = -54 + -23 Combine like terms: -54 + -23 = -77 -9x = -77 Divide each side by '-9'. x = 8.555555556 Simplifying x = 8.555555556
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