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Simplifying 5x + -122 = 74 + -2x Reorder the terms: -122 + 5x = 74 + -2x Solving -122 + 5x = 74 + -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. -122 + 5x + 2x = 74 + -2x + 2x Combine like terms: 5x + 2x = 7x -122 + 7x = 74 + -2x + 2x Combine like terms: -2x + 2x = 0 -122 + 7x = 74 + 0 -122 + 7x = 74 Add '122' to each side of the equation. -122 + 122 + 7x = 74 + 122 Combine like terms: -122 + 122 = 0 0 + 7x = 74 + 122 7x = 74 + 122 Combine like terms: 74 + 122 = 196 7x = 196 Divide each side by '7'. x = 28 Simplifying x = 28
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