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