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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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