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Simplifying 5(10 + 7) * 3(15 + -7) * 4(x + 9) = 0 Combine like terms: 10 + 7 = 17 5(17) * 3(15 + -7) * 4(x + 9) = 0 Combine like terms: 15 + -7 = 8 5 * 17 * 3(8) * 4(x + 9) = 0 Reorder the terms: 5 * 17 * 3 * 8 * 4(9 + x) = 0 Multiply 5 * 17 85 * 3 * 8 * 4(9 + x) = 0 Multiply 85 * 3 255 * 8 * 4(9 + x) = 0 Multiply 255 * 8 2040 * 4(9 + x) = 0 Multiply 2040 * 4 8160(9 + x) = 0 (9 * 8160 + x * 8160) = 0 (73440 + 8160x) = 0 Solving 73440 + 8160x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73440' to each side of the equation. 73440 + -73440 + 8160x = 0 + -73440 Combine like terms: 73440 + -73440 = 0 0 + 8160x = 0 + -73440 8160x = 0 + -73440 Combine like terms: 0 + -73440 = -73440 8160x = -73440 Divide each side by '8160'. x = -9 Simplifying x = -9
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