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Simplifying 2x + 7(4x + 12) = -52 Reorder the terms: 2x + 7(12 + 4x) = -52 2x + (12 * 7 + 4x * 7) = -52 2x + (84 + 28x) = -52 Reorder the terms: 84 + 2x + 28x = -52 Combine like terms: 2x + 28x = 30x 84 + 30x = -52 Solving 84 + 30x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 30x = -52 + -84 Combine like terms: 84 + -84 = 0 0 + 30x = -52 + -84 30x = -52 + -84 Combine like terms: -52 + -84 = -136 30x = -136 Divide each side by '30'. x = -4.533333333 Simplifying x = -4.533333333
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