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Simplifying 1 + -1x = -6x + 51 Reorder the terms: 1 + -1x = 51 + -6x Solving 1 + -1x = 51 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -1x + 6x = 51 + -6x + 6x Combine like terms: -1x + 6x = 5x 1 + 5x = 51 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 5x = 51 + 0 1 + 5x = 51 Add '-1' to each side of the equation. 1 + -1 + 5x = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 51 + -1 5x = 51 + -1 Combine like terms: 51 + -1 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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