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Simplifying 5(7x + 10) + 6(12 + -1x) = 0 Reorder the terms: 5(10 + 7x) + 6(12 + -1x) = 0 (10 * 5 + 7x * 5) + 6(12 + -1x) = 0 (50 + 35x) + 6(12 + -1x) = 0 50 + 35x + (12 * 6 + -1x * 6) = 0 50 + 35x + (72 + -6x) = 0 Reorder the terms: 50 + 72 + 35x + -6x = 0 Combine like terms: 50 + 72 = 122 122 + 35x + -6x = 0 Combine like terms: 35x + -6x = 29x 122 + 29x = 0 Solving 122 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-122' to each side of the equation. 122 + -122 + 29x = 0 + -122 Combine like terms: 122 + -122 = 0 0 + 29x = 0 + -122 29x = 0 + -122 Combine like terms: 0 + -122 = -122 29x = -122 Divide each side by '29'. x = -4.206896552 Simplifying x = -4.206896552
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