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Simplifying 25(6 + -1x) * 2 + -4(6 + -1x) * 3 = 0 Reorder the terms for easier multiplication: 25 * 2(6 + -1x) + -4(6 + -1x) * 3 = 0 Multiply 25 * 2 50(6 + -1x) + -4(6 + -1x) * 3 = 0 (6 * 50 + -1x * 50) + -4(6 + -1x) * 3 = 0 (300 + -50x) + -4(6 + -1x) * 3 = 0 Reorder the terms for easier multiplication: 300 + -50x + -4 * 3(6 + -1x) = 0 Multiply -4 * 3 300 + -50x + -12(6 + -1x) = 0 300 + -50x + (6 * -12 + -1x * -12) = 0 300 + -50x + (-72 + 12x) = 0 Reorder the terms: 300 + -72 + -50x + 12x = 0 Combine like terms: 300 + -72 = 228 228 + -50x + 12x = 0 Combine like terms: -50x + 12x = -38x 228 + -38x = 0 Solving 228 + -38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-228' to each side of the equation. 228 + -228 + -38x = 0 + -228 Combine like terms: 228 + -228 = 0 0 + -38x = 0 + -228 -38x = 0 + -228 Combine like terms: 0 + -228 = -228 -38x = -228 Divide each side by '-38'. x = 6 Simplifying x = 6
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