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Simplifying -7(7x + -6) = -49 + 42 Reorder the terms: -7(-6 + 7x) = -49 + 42 (-6 * -7 + 7x * -7) = -49 + 42 (42 + -49x) = -49 + 42 Combine like terms: -49 + 42 = -7 42 + -49x = -7 Solving 42 + -49x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -49x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -49x = -7 + -42 -49x = -7 + -42 Combine like terms: -7 + -42 = -49 -49x = -49 Divide each side by '-49'. x = 1 Simplifying x = 1
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