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Simplifying -1x + -7 = 5x + -11 + (-7x) Reorder the terms: -7 + -1x = 5x + -11 + (-7x) Reorder the terms: -7 + -1x = -11 + 5x + (-7x) Combine like terms: 5x + (-7x) = -2x -7 + -1x = -11 + -2x Solving -7 + -1x = -11 + -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. -7 + -1x + 2x = -11 + -2x + 2x Combine like terms: -1x + 2x = 1x -7 + 1x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 1x = -11 + 0 -7 + 1x = -11 Add '7' to each side of the equation. -7 + 7 + 1x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -11 + 7 1x = -11 + 7 Combine like terms: -11 + 7 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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