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Simplifying 2(x + 4) + -2 + 2x = -38 Reorder the terms: 2(4 + x) + -2 + 2x = -38 (4 * 2 + x * 2) + -2 + 2x = -38 (8 + 2x) + -2 + 2x = -38 Reorder the terms: 8 + -2 + 2x + 2x = -38 Combine like terms: 8 + -2 = 6 6 + 2x + 2x = -38 Combine like terms: 2x + 2x = 4x 6 + 4x = -38 Solving 6 + 4x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -38 + -6 4x = -38 + -6 Combine like terms: -38 + -6 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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