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Simplifying (0)(X) + (0.4)(75 + -1X) = (0.15)(75) Anything times zero is zero. 0X + (0.4)(75 + -1X) = (0.15)(75) 0 + (75 * 0.4 + -1X * 0.4) = (0.15)(75) 0 + (30 + -0.4X) = (0.15)(75) Combine like terms: 0 + 30 = 30 30 + -0.4X = (0.15)(75) Multiply 0.15 * 75 30 + -0.4X = 11.25 Solving 30 + -0.4X = 11.25 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -0.4X = 11.25 + -30 Combine like terms: 30 + -30 = 0 0 + -0.4X = 11.25 + -30 -0.4X = 11.25 + -30 Combine like terms: 11.25 + -30 = -18.75 -0.4X = -18.75 Divide each side by '-0.4'. X = 46.875 Simplifying X = 46.875
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