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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 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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