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Simplifying -1x + -7 = 3x + 1 Reorder the terms: -7 + -1x = 3x + 1 Reorder the terms: -7 + -1x = 1 + 3x Solving -7 + -1x = 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 + -1x + -3x = 1 + 3x + -3x Combine like terms: -1x + -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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