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Simplifying 14(x + 1) = (-7)(4 + x) Reorder the terms: 14(1 + x) = (-7)(4 + x) (1 * 14 + x * 14) = (-7)(4 + x) (14 + 14x) = (-7)(4 + x) 14 + 14x = (4 * -7 + x * -7) 14 + 14x = (-28 + -7x) Solving 14 + 14x = -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 + 14x + 7x = -28 + -7x + 7x Combine like terms: 14x + 7x = 21x 14 + 21x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 21x = -28 + 0 14 + 21x = -28 Add '-14' to each side of the equation. 14 + -14 + 21x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 21x = -28 + -14 21x = -28 + -14 Combine like terms: -28 + -14 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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