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