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Simplifying 8(x + 4) + 2 = -38 Reorder the terms: 8(4 + x) + 2 = -38 (4 * 8 + x * 8) + 2 = -38 (32 + 8x) + 2 = -38 Reorder the terms: 32 + 2 + 8x = -38 Combine like terms: 32 + 2 = 34 34 + 8x = -38 Solving 34 + 8x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 8x = -38 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = -38 + -34 8x = -38 + -34 Combine like terms: -38 + -34 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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