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Simplifying 9 + -1x = -7x + 51 Reorder the terms: 9 + -1x = 51 + -7x Solving 9 + -1x = 51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -1x + 7x = 51 + -7x + 7x Combine like terms: -1x + 7x = 6x 9 + 6x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 6x = 51 + 0 9 + 6x = 51 Add '-9' to each side of the equation. 9 + -9 + 6x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 51 + -9 6x = 51 + -9 Combine like terms: 51 + -9 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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