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Simplifying 100 + 12x = 120 + 8x Solving 100 + 12x = 120 + 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 = 120 + 8x + -8x Combine like terms: 12x + -8x = 4x 100 + 4x = 120 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + 4x = 120 + 0 100 + 4x = 120 Add '-100' to each side of the equation. 100 + -100 + 4x = 120 + -100 Combine like terms: 100 + -100 = 0 0 + 4x = 120 + -100 4x = 120 + -100 Combine like terms: 120 + -100 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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