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Simplifying -5x + 9 = x + 51 Reorder the terms: 9 + -5x = x + 51 Reorder the terms: 9 + -5x = 51 + x Solving 9 + -5x = 51 + 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. 9 + -5x + -1x = 51 + x + -1x Combine like terms: -5x + -1x = -6x 9 + -6x = 51 + x + -1x Combine like terms: x + -1x = 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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