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Simplifying -35 + -7x = 7(x + 7) Reorder the terms: -35 + -7x = 7(7 + x) -35 + -7x = (7 * 7 + x * 7) -35 + -7x = (49 + 7x) Solving -35 + -7x = 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. -35 + -7x + -7x = 49 + 7x + -7x Combine like terms: -7x + -7x = -14x -35 + -14x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -14x = 49 + 0 -35 + -14x = 49 Add '35' to each side of the equation. -35 + 35 + -14x = 49 + 35 Combine like terms: -35 + 35 = 0 0 + -14x = 49 + 35 -14x = 49 + 35 Combine like terms: 49 + 35 = 84 -14x = 84 Divide each side by '-14'. x = -6 Simplifying x = -6
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