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