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Simplifying 51 = -2x + 7x + 1 Reorder the terms: 51 = 1 + -2x + 7x Combine like terms: -2x + 7x = 5x 51 = 1 + 5x Solving 51 = 1 + 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. 51 + -5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 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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