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Simplifying 7x + -45 = 12x + 20 Reorder the terms: -45 + 7x = 12x + 20 Reorder the terms: -45 + 7x = 20 + 12x Solving -45 + 7x = 20 + 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. -45 + 7x + -12x = 20 + 12x + -12x Combine like terms: 7x + -12x = -5x -45 + -5x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + -5x = 20 + 0 -45 + -5x = 20 Add '45' to each side of the equation. -45 + 45 + -5x = 20 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 20 + 45 -5x = 20 + 45 Combine like terms: 20 + 45 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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