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Simplifying 5x + 54 = 14x + 45 Reorder the terms: 54 + 5x = 14x + 45 Reorder the terms: 54 + 5x = 45 + 14x Solving 54 + 5x = 45 + 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. 54 + 5x + -14x = 45 + 14x + -14x Combine like terms: 5x + -14x = -9x 54 + -9x = 45 + 14x + -14x Combine like terms: 14x + -14x = 0 54 + -9x = 45 + 0 54 + -9x = 45 Add '-54' to each side of the equation. 54 + -54 + -9x = 45 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 45 + -54 -9x = 45 + -54 Combine like terms: 45 + -54 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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