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Simplifying 2x + 14 = -4(4 + 7x) Reorder the terms: 14 + 2x = -4(4 + 7x) 14 + 2x = (4 * -4 + 7x * -4) 14 + 2x = (-16 + -28x) Solving 14 + 2x = -16 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 14 + 2x + 28x = -16 + -28x + 28x Combine like terms: 2x + 28x = 30x 14 + 30x = -16 + -28x + 28x Combine like terms: -28x + 28x = 0 14 + 30x = -16 + 0 14 + 30x = -16 Add '-14' to each side of the equation. 14 + -14 + 30x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 30x = -16 + -14 30x = -16 + -14 Combine like terms: -16 + -14 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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