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Simplifying 7x + 14 = -7(x + 4) Reorder the terms: 14 + 7x = -7(x + 4) Reorder the terms: 14 + 7x = -7(4 + x) 14 + 7x = (4 * -7 + x * -7) 14 + 7x = (-28 + -7x) Solving 14 + 7x = -28 + -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. 14 + 7x + 7x = -28 + -7x + 7x Combine like terms: 7x + 7x = 14x 14 + 14x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 14x = -28 + 0 14 + 14x = -28 Add '-14' to each side of the equation. 14 + -14 + 14x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = -28 + -14 14x = -28 + -14 Combine like terms: -28 + -14 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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