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Simplifying 7x + -45 = 5x + -43 Reorder the terms: -45 + 7x = 5x + -43 Reorder the terms: -45 + 7x = -43 + 5x Solving -45 + 7x = -43 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 7x + -5x = -43 + 5x + -5x Combine like terms: 7x + -5x = 2x -45 + 2x = -43 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 2x = -43 + 0 -45 + 2x = -43 Add '45' to each side of the equation. -45 + 45 + 2x = -43 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = -43 + 45 2x = -43 + 45 Combine like terms: -43 + 45 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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