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Simplifying 5x + -1 = 7x + 1 Reorder the terms: -1 + 5x = 7x + 1 Reorder the terms: -1 + 5x = 1 + 7x Solving -1 + 5x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 5x + -7x = 1 + 7x + -7x Combine like terms: 5x + -7x = -2x -1 + -2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -2x = 1 + 0 -1 + -2x = 1 Add '1' to each side of the equation. -1 + 1 + -2x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 1 + 1 -2x = 1 + 1 Combine like terms: 1 + 1 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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