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Simplifying 0 = 0.75(-2) + 0.25(6X + -2(1 + -1X) + -2) Multiply 0.75 * -2 0 = -1.5 + 0.25(6X + -2(1 + -1X) + -2) 0 = -1.5 + 0.25(6X + (1 * -2 + -1X * -2) + -2) 0 = -1.5 + 0.25(6X + (-2 + 2X) + -2) Reorder the terms: 0 = -1.5 + 0.25(-2 + -2 + 6X + 2X) Combine like terms: -2 + -2 = -4 0 = -1.5 + 0.25(-4 + 6X + 2X) Combine like terms: 6X + 2X = 8X 0 = -1.5 + 0.25(-4 + 8X) 0 = -1.5 + (-4 * 0.25 + 8X * 0.25) 0 = -1.5 + (-1 + 2X) Combine like terms: -1.5 + -1 = -2.5 0 = -2.5 + 2X Solving 0 = -2.5 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 0 + -2X = -2.5 + 2X + -2X Remove the zero: -2X = -2.5 + 2X + -2X Combine like terms: 2X + -2X = 0 -2X = -2.5 + 0 -2X = -2.5 Divide each side by '-2'. X = 1.25 Simplifying X = 1.25
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