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Simplifying -5x + -74 = -11x + 52 Reorder the terms: -74 + -5x = -11x + 52 Reorder the terms: -74 + -5x = 52 + -11x Solving -74 + -5x = 52 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -74 + -5x + 11x = 52 + -11x + 11x Combine like terms: -5x + 11x = 6x -74 + 6x = 52 + -11x + 11x Combine like terms: -11x + 11x = 0 -74 + 6x = 52 + 0 -74 + 6x = 52 Add '74' to each side of the equation. -74 + 74 + 6x = 52 + 74 Combine like terms: -74 + 74 = 0 0 + 6x = 52 + 74 6x = 52 + 74 Combine like terms: 52 + 74 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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