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Simplifying (0.06)(x5 + -20x3 + 64X) = 0 Reorder the terms: 0.06(64X + -20x3 + x5) = 0 (64X * 0.06 + -20x3 * 0.06 + x5 * 0.06) = 0 (3.84X + -1.2x3 + 0.06x5) = 0 Solving 3.84X + -1.2x3 + 0.06x5 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1.2x3' to each side of the equation. 3.84X + -1.2x3 + 1.2x3 + 0.06x5 = 0 + 1.2x3 Combine like terms: -1.2x3 + 1.2x3 = 0.0 3.84X + 0.0 + 0.06x5 = 0 + 1.2x3 3.84X + 0.06x5 = 0 + 1.2x3 Remove the zero: 3.84X + 0.06x5 = 1.2x3 Add '-0.06x5' to each side of the equation. 3.84X + 0.06x5 + -0.06x5 = 1.2x3 + -0.06x5 Combine like terms: 0.06x5 + -0.06x5 = 0.00 3.84X + 0.00 = 1.2x3 + -0.06x5 3.84X = 1.2x3 + -0.06x5 Divide each side by '3.84'. X = 0.3125x3 + -0.015625x5 Simplifying X = 0.3125x3 + -0.015625x5
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