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Simplifying -84 = -7(x + 6) Reorder the terms: -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 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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