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Simplifying 7x + -43 = 5x + -13 Reorder the terms: -43 + 7x = 5x + -13 Reorder the terms: -43 + 7x = -13 + 5x Solving -43 + 7x = -13 + 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. -43 + 7x + -5x = -13 + 5x + -5x Combine like terms: 7x + -5x = 2x -43 + 2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 2x = -13 + 0 -43 + 2x = -13 Add '43' to each side of the equation. -43 + 43 + 2x = -13 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = -13 + 43 2x = -13 + 43 Combine like terms: -13 + 43 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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