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Simplifying 7(x + -5) + 12(x + 7) = 0 Reorder the terms: 7(-5 + x) + 12(x + 7) = 0 (-5 * 7 + x * 7) + 12(x + 7) = 0 (-35 + 7x) + 12(x + 7) = 0 Reorder the terms: -35 + 7x + 12(7 + x) = 0 -35 + 7x + (7 * 12 + x * 12) = 0 -35 + 7x + (84 + 12x) = 0 Reorder the terms: -35 + 84 + 7x + 12x = 0 Combine like terms: -35 + 84 = 49 49 + 7x + 12x = 0 Combine like terms: 7x + 12x = 19x 49 + 19x = 0 Solving 49 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 19x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 19x = 0 + -49 19x = 0 + -49 Combine like terms: 0 + -49 = -49 19x = -49 Divide each side by '19'. x = -2.578947368 Simplifying x = -2.578947368
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