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Simplifying 6x + 5(x + -7) = -101 Reorder the terms: 6x + 5(-7 + x) = -101 6x + (-7 * 5 + x * 5) = -101 6x + (-35 + 5x) = -101 Reorder the terms: -35 + 6x + 5x = -101 Combine like terms: 6x + 5x = 11x -35 + 11x = -101 Solving -35 + 11x = -101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 11x = -101 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = -101 + 35 11x = -101 + 35 Combine like terms: -101 + 35 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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