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Simplifying -45 + 12x = 2x + 75 Reorder the terms: -45 + 12x = 75 + 2x Solving -45 + 12x = 75 + 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. -45 + 12x + -2x = 75 + 2x + -2x Combine like terms: 12x + -2x = 10x -45 + 10x = 75 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 10x = 75 + 0 -45 + 10x = 75 Add '45' to each side of the equation. -45 + 45 + 10x = 75 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = 75 + 45 10x = 75 + 45 Combine like terms: 75 + 45 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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