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