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Simplifying 12x + -100 = 8x + 20 Reorder the terms: -100 + 12x = 8x + 20 Reorder the terms: -100 + 12x = 20 + 8x Solving -100 + 12x = 20 + 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. -100 + 12x + -8x = 20 + 8x + -8x Combine like terms: 12x + -8x = 4x -100 + 4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -100 + 4x = 20 + 0 -100 + 4x = 20 Add '100' to each side of the equation. -100 + 100 + 4x = 20 + 100 Combine like terms: -100 + 100 = 0 0 + 4x = 20 + 100 4x = 20 + 100 Combine like terms: 20 + 100 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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