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Simplifying 2(3x + 8) = -45 + 43 Reorder the terms: 2(8 + 3x) = -45 + 43 (8 * 2 + 3x * 2) = -45 + 43 (16 + 6x) = -45 + 43 Combine like terms: -45 + 43 = -2 16 + 6x = -2 Solving 16 + 6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -2 + -16 6x = -2 + -16 Combine like terms: -2 + -16 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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