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Simplifying 5x + 3(-7x + -7) = -101 Reorder the terms: 5x + 3(-7 + -7x) = -101 5x + (-7 * 3 + -7x * 3) = -101 5x + (-21 + -21x) = -101 Reorder the terms: -21 + 5x + -21x = -101 Combine like terms: 5x + -21x = -16x -21 + -16x = -101 Solving -21 + -16x = -101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -16x = -101 + 21 Combine like terms: -21 + 21 = 0 0 + -16x = -101 + 21 -16x = -101 + 21 Combine like terms: -101 + 21 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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