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Simplifying -55 + 9x = 5x + 61 Reorder the terms: -55 + 9x = 61 + 5x Solving -55 + 9x = 61 + 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. -55 + 9x + -5x = 61 + 5x + -5x Combine like terms: 9x + -5x = 4x -55 + 4x = 61 + 5x + -5x Combine like terms: 5x + -5x = 0 -55 + 4x = 61 + 0 -55 + 4x = 61 Add '55' to each side of the equation. -55 + 55 + 4x = 61 + 55 Combine like terms: -55 + 55 = 0 0 + 4x = 61 + 55 4x = 61 + 55 Combine like terms: 61 + 55 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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