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Simplifying -101 = -5x + -7(-5x + -7) Reorder the terms: -101 = -5x + -7(-7 + -5x) -101 = -5x + (-7 * -7 + -5x * -7) -101 = -5x + (49 + 35x) Reorder the terms: -101 = 49 + -5x + 35x Combine like terms: -5x + 35x = 30x -101 = 49 + 30x Solving -101 = 49 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -101 + -30x = 49 + 30x + -30x Combine like terms: 30x + -30x = 0 -101 + -30x = 49 + 0 -101 + -30x = 49 Add '101' to each side of the equation. -101 + 101 + -30x = 49 + 101 Combine like terms: -101 + 101 = 0 0 + -30x = 49 + 101 -30x = 49 + 101 Combine like terms: 49 + 101 = 150 -30x = 150 Divide each side by '-30'. x = -5 Simplifying x = -5
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