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Simplifying 4x + 51 = 9x + 1 Reorder the terms: 51 + 4x = 9x + 1 Reorder the terms: 51 + 4x = 1 + 9x Solving 51 + 4x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 51 + 4x + -9x = 1 + 9x + -9x Combine like terms: 4x + -9x = -5x 51 + -5x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 51 + -5x = 1 + 0 51 + -5x = 1 Add '-51' to each side of the equation. 51 + -51 + -5x = 1 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = 1 + -51 -5x = 1 + -51 Combine like terms: 1 + -51 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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