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Simplifying x + 27 = 2x + -75 Reorder the terms: 27 + x = 2x + -75 Reorder the terms: 27 + x = -75 + 2x Solving 27 + x = -75 + 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. 27 + x + -2x = -75 + 2x + -2x Combine like terms: x + -2x = -1x 27 + -1x = -75 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -1x = -75 + 0 27 + -1x = -75 Add '-27' to each side of the equation. 27 + -27 + -1x = -75 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -75 + -27 -1x = -75 + -27 Combine like terms: -75 + -27 = -102 -1x = -102 Divide each side by '-1'. x = 102 Simplifying x = 102
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