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Simplifying 2 + -6x = -3x + 12 + -5x Reorder the terms: 2 + -6x = 12 + -3x + -5x Combine like terms: -3x + -5x = -8x 2 + -6x = 12 + -8x Solving 2 + -6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + -6x + 8x = 12 + -8x + 8x Combine like terms: -6x + 8x = 2x 2 + 2x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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