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Simplifying 7(5x + 12) + 13x + -12 = 0 Reorder the terms: 7(12 + 5x) + 13x + -12 = 0 (12 * 7 + 5x * 7) + 13x + -12 = 0 (84 + 35x) + 13x + -12 = 0 Reorder the terms: 84 + -12 + 35x + 13x = 0 Combine like terms: 84 + -12 = 72 72 + 35x + 13x = 0 Combine like terms: 35x + 13x = 48x 72 + 48x = 0 Solving 72 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 48x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 48x = 0 + -72 48x = 0 + -72 Combine like terms: 0 + -72 = -72 48x = -72 Divide each side by '48'. x = -1.5 Simplifying x = -1.5
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