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Simplifying 5(2x + 4) + -33(5x + 8) = 0 Reorder the terms: 5(4 + 2x) + -33(5x + 8) = 0 (4 * 5 + 2x * 5) + -33(5x + 8) = 0 (20 + 10x) + -33(5x + 8) = 0 Reorder the terms: 20 + 10x + -33(8 + 5x) = 0 20 + 10x + (8 * -33 + 5x * -33) = 0 20 + 10x + (-264 + -165x) = 0 Reorder the terms: 20 + -264 + 10x + -165x = 0 Combine like terms: 20 + -264 = -244 -244 + 10x + -165x = 0 Combine like terms: 10x + -165x = -155x -244 + -155x = 0 Solving -244 + -155x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '244' to each side of the equation. -244 + 244 + -155x = 0 + 244 Combine like terms: -244 + 244 = 0 0 + -155x = 0 + 244 -155x = 0 + 244 Combine like terms: 0 + 244 = 244 -155x = 244 Divide each side by '-155'. x = -1.574193548 Simplifying x = -1.574193548
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