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Simplifying -6x + 20 + 7x + 12 = -6 Reorder the terms: 20 + 12 + -6x + 7x = -6 Combine like terms: 20 + 12 = 32 32 + -6x + 7x = -6 Combine like terms: -6x + 7x = 1x 32 + 1x = -6 Solving 32 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = -6 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -6 + -32 1x = -6 + -32 Combine like terms: -6 + -32 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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