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Simplifying -84 = -7(6 + -1x) -84 = (6 * -7 + -1x * -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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