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Simplifying 5x + -27 = -7x + 13 + 2x Reorder the terms: -27 + 5x = -7x + 13 + 2x Reorder the terms: -27 + 5x = 13 + -7x + 2x Combine like terms: -7x + 2x = -5x -27 + 5x = 13 + -5x Solving -27 + 5x = 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. -27 + 5x + 5x = 13 + -5x + 5x Combine like terms: 5x + 5x = 10x -27 + 10x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 10x = 13 + 0 -27 + 10x = 13 Add '27' to each side of the equation. -27 + 27 + 10x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 13 + 27 10x = 13 + 27 Combine like terms: 13 + 27 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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