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Simplifying 6 + -7x + -2 = -32 + 5x + -12 Reorder the terms: 6 + -2 + -7x = -32 + 5x + -12 Combine like terms: 6 + -2 = 4 4 + -7x = -32 + 5x + -12 Reorder the terms: 4 + -7x = -32 + -12 + 5x Combine like terms: -32 + -12 = -44 4 + -7x = -44 + 5x Solving 4 + -7x = -44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -7x + -5x = -44 + 5x + -5x Combine like terms: -7x + -5x = -12x 4 + -12x = -44 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -12x = -44 + 0 4 + -12x = -44 Add '-4' to each side of the equation. 4 + -4 + -12x = -44 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -44 + -4 -12x = -44 + -4 Combine like terms: -44 + -4 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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