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Simplifying 10x + 100 = 12x Reorder the terms: 100 + 10x = 12x Solving 100 + 10x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 100 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x 100 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 100 + -2x = 0 Add '-100' to each side of the equation. 100 + -100 + -2x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 0 + -100 -2x = 0 + -100 Combine like terms: 0 + -100 = -100 -2x = -100 Divide each side by '-2'. x = 50 Simplifying x = 50
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