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Simplifying -6x + -5 = x + 51 Reorder the terms: -5 + -6x = x + 51 Reorder the terms: -5 + -6x = 51 + x Solving -5 + -6x = 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. -5 + -6x + -1x = 51 + x + -1x Combine like terms: -6x + -1x = -7x -5 + -7x = 51 + x + -1x Combine like terms: x + -1x = 0 -5 + -7x = 51 + 0 -5 + -7x = 51 Add '5' to each side of the equation. -5 + 5 + -7x = 51 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 51 + 5 -7x = 51 + 5 Combine like terms: 51 + 5 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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