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Simplifying 6 + -5x + 2 = 3x + -12 + 2x Reorder the terms: 6 + 2 + -5x = 3x + -12 + 2x Combine like terms: 6 + 2 = 8 8 + -5x = 3x + -12 + 2x Reorder the terms: 8 + -5x = -12 + 3x + 2x Combine like terms: 3x + 2x = 5x 8 + -5x = -12 + 5x Solving 8 + -5x = -12 + 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. 8 + -5x + -5x = -12 + 5x + -5x Combine like terms: -5x + -5x = -10x 8 + -10x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -10x = -12 + 0 8 + -10x = -12 Add '-8' to each side of the equation. 8 + -8 + -10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -12 + -8 -10x = -12 + -8 Combine like terms: -12 + -8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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