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