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