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Simplifying 6(x + -1) + -1x = 6x + -1 Reorder the terms: 6(-1 + x) + -1x = 6x + -1 (-1 * 6 + x * 6) + -1x = 6x + -1 (-6 + 6x) + -1x = 6x + -1 Combine like terms: 6x + -1x = 5x -6 + 5x = 6x + -1 Reorder the terms: -6 + 5x = -1 + 6x Solving -6 + 5x = -1 + 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. -6 + 5x + -6x = -1 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -1 + 6x + -6x Combine like terms: 6x + -6x = 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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