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Simplifying x + 2 + -51 + 27 = 2x + 13 + -51 + 27 Reorder the terms: 2 + -51 + 27 + x = 2x + 13 + -51 + 27 Combine like terms: 2 + -51 = -49 -49 + 27 + x = 2x + 13 + -51 + 27 Combine like terms: -49 + 27 = -22 -22 + x = 2x + 13 + -51 + 27 Reorder the terms: -22 + x = 13 + -51 + 27 + 2x Combine like terms: 13 + -51 = -38 -22 + x = -38 + 27 + 2x Combine like terms: -38 + 27 = -11 -22 + x = -11 + 2x Solving -22 + x = -11 + 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. -22 + x + -2x = -11 + 2x + -2x Combine like terms: x + -2x = -1x -22 + -1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + -1x = -11 + 0 -22 + -1x = -11 Add '22' to each side of the equation. -22 + 22 + -1x = -11 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = -11 + 22 -1x = -11 + 22 Combine like terms: -11 + 22 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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