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Simplifying -4x + 54 = 5x + 9 Reorder the terms: 54 + -4x = 5x + 9 Reorder the terms: 54 + -4x = 9 + 5x Solving 54 + -4x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + -4x + -5x = 9 + 5x + -5x Combine like terms: -4x + -5x = -9x 54 + -9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + -9x = 9 + 0 54 + -9x = 9 Add '-54' to each side of the equation. 54 + -54 + -9x = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 9 + -54 -9x = 9 + -54 Combine like terms: 9 + -54 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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