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Simplifying 14(2x + 4) = -7(6x + 4) Reorder the terms: 14(4 + 2x) = -7(6x + 4) (4 * 14 + 2x * 14) = -7(6x + 4) (56 + 28x) = -7(6x + 4) Reorder the terms: 56 + 28x = -7(4 + 6x) 56 + 28x = (4 * -7 + 6x * -7) 56 + 28x = (-28 + -42x) Solving 56 + 28x = -28 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 56 + 28x + 42x = -28 + -42x + 42x Combine like terms: 28x + 42x = 70x 56 + 70x = -28 + -42x + 42x Combine like terms: -42x + 42x = 0 56 + 70x = -28 + 0 56 + 70x = -28 Add '-56' to each side of the equation. 56 + -56 + 70x = -28 + -56 Combine like terms: 56 + -56 = 0 0 + 70x = -28 + -56 70x = -28 + -56 Combine like terms: -28 + -56 = -84 70x = -84 Divide each side by '70'. x = -1.2 Simplifying x = -1.2
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