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Simplifying 6x + 7(-7x + -22) = 362 Reorder the terms: 6x + 7(-22 + -7x) = 362 6x + (-22 * 7 + -7x * 7) = 362 6x + (-154 + -49x) = 362 Reorder the terms: -154 + 6x + -49x = 362 Combine like terms: 6x + -49x = -43x -154 + -43x = 362 Solving -154 + -43x = 362 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '154' to each side of the equation. -154 + 154 + -43x = 362 + 154 Combine like terms: -154 + 154 = 0 0 + -43x = 362 + 154 -43x = 362 + 154 Combine like terms: 362 + 154 = 516 -43x = 516 Divide each side by '-43'. x = -12 Simplifying x = -12
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