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Simplifying -51 + 5x = x + 17 Reorder the terms: -51 + 5x = 17 + x Solving -51 + 5x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -51 + 5x + -1x = 17 + x + -1x Combine like terms: 5x + -1x = 4x -51 + 4x = 17 + x + -1x Combine like terms: x + -1x = 0 -51 + 4x = 17 + 0 -51 + 4x = 17 Add '51' to each side of the equation. -51 + 51 + 4x = 17 + 51 Combine like terms: -51 + 51 = 0 0 + 4x = 17 + 51 4x = 17 + 51 Combine like terms: 17 + 51 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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