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Simplifying -6x = -4 + -1(x + 1) Reorder the terms: -6x = -4 + -1(1 + x) -6x = -4 + (1 * -1 + x * -1) -6x = -4 + (-1 + -1x) Combine like terms: -4 + -1 = -5 -6x = -5 + -1x Solving -6x = -5 + -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. -6x + x = -5 + -1x + x Combine like terms: -6x + x = -5x -5x = -5 + -1x + x Combine like terms: -1x + x = 0 -5x = -5 + 0 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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