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Simplifying 5(5x + 7) + -12x = 0 Reorder the terms: 5(7 + 5x) + -12x = 0 (7 * 5 + 5x * 5) + -12x = 0 (35 + 25x) + -12x = 0 Combine like terms: 25x + -12x = 13x 35 + 13x = 0 Solving 35 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 13x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 0 + -35 13x = 0 + -35 Combine like terms: 0 + -35 = -35 13x = -35 Divide each side by '13'. x = -2.692307692 Simplifying x = -2.692307692
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