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