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Simplifying 13.747 = x + [1.64(0.12 + -1x)] 13.747 = x + [(0.12 * 1.64 + -1x * 1.64)] 13.747 = x + [(0.1968 + -1.64x)] 13.747 = x + [0.1968 + -1.64x] Remove brackets around [0.1968 + -1.64x] 13.747 = x + 0.1968 + -1.64x Reorder the terms: 13.747 = 0.1968 + x + -1.64x Combine like terms: x + -1.64x = -0.64x 13.747 = 0.1968 + -0.64x Solving 13.747 = 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. 13.747 + 0.64x = 0.1968 + -0.64x + 0.64x Combine like terms: -0.64x + 0.64x = 0.00 13.747 + 0.64x = 0.1968 + 0.00 13.747 + 0.64x = 0.1968 Add '-13.747' to each side of the equation. 13.747 + -13.747 + 0.64x = 0.1968 + -13.747 Combine like terms: 13.747 + -13.747 = 0.000 0.000 + 0.64x = 0.1968 + -13.747 0.64x = 0.1968 + -13.747 Combine like terms: 0.1968 + -13.747 = -13.5502 0.64x = -13.5502 Divide each side by '0.64'. x = -21.1721875 Simplifying x = -21.1721875
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