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Simplifying 5x + 7(10x + 12) = 0 Reorder the terms: 5x + 7(12 + 10x) = 0 5x + (12 * 7 + 10x * 7) = 0 5x + (84 + 70x) = 0 Reorder the terms: 84 + 5x + 70x = 0 Combine like terms: 5x + 70x = 75x 84 + 75x = 0 Solving 84 + 75x = 0 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 + 75x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 75x = 0 + -84 75x = 0 + -84 Combine like terms: 0 + -84 = -84 75x = -84 Divide each side by '75'. x = -1.12 Simplifying x = -1.12
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