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Simplifying -1x + -51 = 2x + 15 Reorder the terms: -51 + -1x = 2x + 15 Reorder the terms: -51 + -1x = 15 + 2x Solving -51 + -1x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -51 + -1x + -2x = 15 + 2x + -2x Combine like terms: -1x + -2x = -3x -51 + -3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -51 + -3x = 15 + 0 -51 + -3x = 15 Add '51' to each side of the equation. -51 + 51 + -3x = 15 + 51 Combine like terms: -51 + 51 = 0 0 + -3x = 15 + 51 -3x = 15 + 51 Combine like terms: 15 + 51 = 66 -3x = 66 Divide each side by '-3'. x = -22 Simplifying x = -22
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