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Simplifying -84 = -7(x + 5) Reorder the terms: -84 = -7(5 + x) -84 = (5 * -7 + x * -7) -84 = (-35 + -7x) Solving -84 = -35 + -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 = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 -84 + 7x = -35 + 0 -84 + 7x = -35 Add '84' to each side of the equation. -84 + 84 + 7x = -35 + 84 Combine like terms: -84 + 84 = 0 0 + 7x = -35 + 84 7x = -35 + 84 Combine like terms: -35 + 84 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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