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Simplifying 2(4x + 7) = -38 + 20 Reorder the terms: 2(7 + 4x) = -38 + 20 (7 * 2 + 4x * 2) = -38 + 20 (14 + 8x) = -38 + 20 Combine like terms: -38 + 20 = -18 14 + 8x = -18 Solving 14 + 8x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -18 + -14 8x = -18 + -14 Combine like terms: -18 + -14 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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