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Simplifying 2(3x + 7) = -48 + 32 Reorder the terms: 2(7 + 3x) = -48 + 32 (7 * 2 + 3x * 2) = -48 + 32 (14 + 6x) = -48 + 32 Combine like terms: -48 + 32 = -16 14 + 6x = -16 Solving 14 + 6x = -16 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 + 6x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = -16 + -14 6x = -16 + -14 Combine like terms: -16 + -14 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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