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Simplifying -11 + -1x = -6(x + 1) Reorder the terms: -11 + -1x = -6(1 + x) -11 + -1x = (1 * -6 + x * -6) -11 + -1x = (-6 + -6x) Solving -11 + -1x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + -1x + 6x = -6 + -6x + 6x Combine like terms: -1x + 6x = 5x -11 + 5x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 5x = -6 + 0 -11 + 5x = -6 Add '11' to each side of the equation. -11 + 11 + 5x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = -6 + 11 5x = -6 + 11 Combine like terms: -6 + 11 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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