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Simplifying 2(11 + -2x) = -38 + x (11 * 2 + -2x * 2) = -38 + x (22 + -4x) = -38 + x Solving 22 + -4x = -38 + 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. 22 + -4x + -1x = -38 + x + -1x Combine like terms: -4x + -1x = -5x 22 + -5x = -38 + x + -1x Combine like terms: x + -1x = 0 22 + -5x = -38 + 0 22 + -5x = -38 Add '-22' to each side of the equation. 22 + -22 + -5x = -38 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -38 + -22 -5x = -38 + -22 Combine like terms: -38 + -22 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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