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Simplifying -1 + 5x = -2x + -78 Reorder the terms: -1 + 5x = -78 + -2x Solving -1 + 5x = -78 + -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. -1 + 5x + 2x = -78 + -2x + 2x Combine like terms: 5x + 2x = 7x -1 + 7x = -78 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 7x = -78 + 0 -1 + 7x = -78 Add '1' to each side of the equation. -1 + 1 + 7x = -78 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -78 + 1 7x = -78 + 1 Combine like terms: -78 + 1 = -77 7x = -77 Divide each side by '7'. x = -11 Simplifying x = -11
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