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Simplifying -84 = -7(-6 + x) -84 = (-6 * -7 + x * -7) -84 = (42 + -7x) Solving -84 = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -84 + 7x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -84 + 7x = 42 + 0 -84 + 7x = 42 Add '84' to each side of the equation. -84 + 84 + 7x = 42 + 84 Combine like terms: -84 + 84 = 0 0 + 7x = 42 + 84 7x = 42 + 84 Combine like terms: 42 + 84 = 126 7x = 126 Divide each side by '7'. x = 18 Simplifying x = 18
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