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Simplifying x + -2 = 7x + 1 Reorder the terms: -2 + x = 7x + 1 Reorder the terms: -2 + x = 1 + 7x Solving -2 + x = 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. -2 + x + -7x = 1 + 7x + -7x Combine like terms: x + -7x = -6x -2 + -6x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = 1 + 0 -2 + -6x = 1 Add '2' to each side of the equation. -2 + 2 + -6x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 1 + 2 -6x = 1 + 2 Combine like terms: 1 + 2 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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