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Simplifying -45 + 9x = 5x + 51 Reorder the terms: -45 + 9x = 51 + 5x Solving -45 + 9x = 51 + 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. -45 + 9x + -5x = 51 + 5x + -5x Combine like terms: 9x + -5x = 4x -45 + 4x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 4x = 51 + 0 -45 + 4x = 51 Add '45' to each side of the equation. -45 + 45 + 4x = 51 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = 51 + 45 4x = 51 + 45 Combine like terms: 51 + 45 = 96 4x = 96 Divide each side by '4'. x = 24 Simplifying x = 24
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