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Simplifying -51 + -6x = x + 47 Reorder the terms: -51 + -6x = 47 + x Solving -51 + -6x = 47 + 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. -51 + -6x + -1x = 47 + x + -1x Combine like terms: -6x + -1x = -7x -51 + -7x = 47 + x + -1x Combine like terms: x + -1x = 0 -51 + -7x = 47 + 0 -51 + -7x = 47 Add '51' to each side of the equation. -51 + 51 + -7x = 47 + 51 Combine like terms: -51 + 51 = 0 0 + -7x = 47 + 51 -7x = 47 + 51 Combine like terms: 47 + 51 = 98 -7x = 98 Divide each side by '-7'. x = -14 Simplifying x = -14
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