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Simplifying 7x + 7(x + -5) = -147 Reorder the terms: 7x + 7(-5 + x) = -147 7x + (-5 * 7 + x * 7) = -147 7x + (-35 + 7x) = -147 Reorder the terms: -35 + 7x + 7x = -147 Combine like terms: 7x + 7x = 14x -35 + 14x = -147 Solving -35 + 14x = -147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 14x = -147 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = -147 + 35 14x = -147 + 35 Combine like terms: -147 + 35 = -112 14x = -112 Divide each side by '14'. x = -8 Simplifying x = -8
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