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Simplifying 2(4x + 7) = -33 + 7 Reorder the terms: 2(7 + 4x) = -33 + 7 (7 * 2 + 4x * 2) = -33 + 7 (14 + 8x) = -33 + 7 Combine like terms: -33 + 7 = -26 14 + 8x = -26 Solving 14 + 8x = -26 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 = -26 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -26 + -14 8x = -26 + -14 Combine like terms: -26 + -14 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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