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