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Simplifying -5(1 + -1x) = 6x + -7 (1 * -5 + -1x * -5) = 6x + -7 (-5 + 5x) = 6x + -7 Reorder the terms: -5 + 5x = -7 + 6x Solving -5 + 5x = -7 + 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 = -7 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -7 + 0 -5 + -1x = -7 Add '5' to each side of the equation. -5 + 5 + -1x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -7 + 5 -1x = -7 + 5 Combine like terms: -7 + 5 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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