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Simplifying 7(x + 5) = -7x Reorder the terms: 7(5 + x) = -7x (5 * 7 + x * 7) = -7x (35 + 7x) = -7x Solving 35 + 7x = -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 = -7x + 7x Combine like terms: 7x + 7x = 14x 35 + 14x = -7x + 7x Combine like terms: -7x + 7x = 0 35 + 14x = 0 Add '-35' to each side of the equation. 35 + -35 + 14x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = 0 + -35 14x = 0 + -35 Combine like terms: 0 + -35 = -35 14x = -35 Divide each side by '14'. x = -2.5 Simplifying x = -2.5
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