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Simplifying 3x + -12 = -2x + 83 Reorder the terms: -12 + 3x = -2x + 83 Reorder the terms: -12 + 3x = 83 + -2x Solving -12 + 3x = 83 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 3x + 2x = 83 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 83 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 83 + 0 -12 + 5x = 83 Add '12' to each side of the equation. -12 + 12 + 5x = 83 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 83 + 12 5x = 83 + 12 Combine like terms: 83 + 12 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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