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Simplifying 2x + -83 = 6x + 12 Reorder the terms: -83 + 2x = 6x + 12 Reorder the terms: -83 + 2x = 12 + 6x Solving -83 + 2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -83 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x -83 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -83 + -4x = 12 + 0 -83 + -4x = 12 Add '83' to each side of the equation. -83 + 83 + -4x = 12 + 83 Combine like terms: -83 + 83 = 0 0 + -4x = 12 + 83 -4x = 12 + 83 Combine like terms: 12 + 83 = 95 -4x = 95 Divide each side by '-4'. x = -23.75 Simplifying x = -23.75
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