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Simplifying x + -7 = -3x + 1 Reorder the terms: -7 + x = -3x + 1 Reorder the terms: -7 + x = 1 + -3x Solving -7 + x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + x + 3x = 1 + -3x + 3x Combine like terms: x + 3x = 4x -7 + 4x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 4x = 1 + 0 -7 + 4x = 1 Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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