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To find an equation to solve for x, we know that supplementary angles add up to 180°. Therefore, we can set up the equation:
∠ABC + ∠CBD = 180°.
Substituting the given angles:
(3x + 25)° + 32° = 180°.
Simplifying the equation:
3x + 57° = 180°.
Now we can solve for x.