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Simplifying 0.13747 = x + [1.64(0.12 + -1x)] 0.13747 = x + [(0.12 * 1.64 + -1x * 1.64)] 0.13747 = x + [(0.1968 + -1.64x)] 0.13747 = x + [0.1968 + -1.64x] Remove brackets around [0.1968 + -1.64x] 0.13747 = x + 0.1968 + -1.64x Reorder the terms: 0.13747 = 0.1968 + x + -1.64x Combine like terms: x + -1.64x = -0.64x 0.13747 = 0.1968 + -0.64x Solving 0.13747 = 0.1968 + -0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.64x' to each side of the equation. 0.13747 + 0.64x = 0.1968 + -0.64x + 0.64x Combine like terms: -0.64x + 0.64x = 0.00 0.13747 + 0.64x = 0.1968 + 0.00 0.13747 + 0.64x = 0.1968 Add '-0.13747' to each side of the equation. 0.13747 + -0.13747 + 0.64x = 0.1968 + -0.13747 Combine like terms: 0.13747 + -0.13747 = 0.00000 0.00000 + 0.64x = 0.1968 + -0.13747 0.64x = 0.1968 + -0.13747 Combine like terms: 0.1968 + -0.13747 = 0.05933 0.64x = 0.05933 Divide each side by '0.64'. x = 0.092703125 Simplifying x = 0.092703125
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