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Simplifying -5x + 7(-1x + -7) = 47 Reorder the terms: -5x + 7(-7 + -1x) = 47 -5x + (-7 * 7 + -1x * 7) = 47 -5x + (-49 + -7x) = 47 Reorder the terms: -49 + -5x + -7x = 47 Combine like terms: -5x + -7x = -12x -49 + -12x = 47 Solving -49 + -12x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -12x = 47 + 49 Combine like terms: -49 + 49 = 0 0 + -12x = 47 + 49 -12x = 47 + 49 Combine like terms: 47 + 49 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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