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