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Simplifying -27 + 5x = 29 + -2x Solving -27 + 5x = 29 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + 5x + 2x = 29 + -2x + 2x Combine like terms: 5x + 2x = 7x -27 + 7x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 7x = 29 + 0 -27 + 7x = 29 Add '27' to each side of the equation. -27 + 27 + 7x = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 29 + 27 7x = 29 + 27 Combine like terms: 29 + 27 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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