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Simplifying -74 + 6x = -5x + 113 Reorder the terms: -74 + 6x = 113 + -5x Solving -74 + 6x = 113 + -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. -74 + 6x + 5x = 113 + -5x + 5x Combine like terms: 6x + 5x = 11x -74 + 11x = 113 + -5x + 5x Combine like terms: -5x + 5x = 0 -74 + 11x = 113 + 0 -74 + 11x = 113 Add '74' to each side of the equation. -74 + 74 + 11x = 113 + 74 Combine like terms: -74 + 74 = 0 0 + 11x = 113 + 74 11x = 113 + 74 Combine like terms: 113 + 74 = 187 11x = 187 Divide each side by '11'. x = 17 Simplifying x = 17
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