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Simplifying -75 + -7x = 45 + -12x Solving -75 + -7x = 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 + -7x + 12x = 45 + -12x + 12x Combine like terms: -7x + 12x = 5x -75 + 5x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 -75 + 5x = 45 + 0 -75 + 5x = 45 Add '75' to each side of the equation. -75 + 75 + 5x = 45 + 75 Combine like terms: -75 + 75 = 0 0 + 5x = 45 + 75 5x = 45 + 75 Combine like terms: 45 + 75 = 120 5x = 120 Divide each side by '5'. x = 24 Simplifying x = 24
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