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Simplifying 5x + (-1) = -2x + 6 5x + -1 = -2x + 6 Reorder the terms: -1 + 5x = -2x + 6 Reorder the terms: -1 + 5x = 6 + -2x Solving -1 + 5x = 6 + -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 = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x -1 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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