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Simplifying 0.5(5 + -7x) = 8 + -1(fx + 6) (5 * 0.5 + -7x * 0.5) = 8 + -1(fx + 6) (2.5 + -3.5x) = 8 + -1(fx + 6) Reorder the terms: 2.5 + -3.5x = 8 + -1(6 + fx) 2.5 + -3.5x = 8 + (6 * -1 + fx * -1) 2.5 + -3.5x = 8 + (-6 + -1fx) Combine like terms: 8 + -6 = 2 2.5 + -3.5x = 2 + -1fx Solving 2.5 + -3.5x = 2 + -1fx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'fx' to each side of the equation. 2.5 + fx + -3.5x = 2 + -1fx + fx Combine like terms: -1fx + fx = 0 2.5 + fx + -3.5x = 2 + 0 2.5 + fx + -3.5x = 2 Add '-2.5' to each side of the equation. 2.5 + fx + -2.5 + -3.5x = 2 + -2.5 Reorder the terms: 2.5 + -2.5 + fx + -3.5x = 2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + fx + -3.5x = 2 + -2.5 fx + -3.5x = 2 + -2.5 Combine like terms: 2 + -2.5 = -0.5 fx + -3.5x = -0.5 Reorder the terms: 0.5 + fx + -3.5x = -0.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.5 + fx + -3.5x = 0.0 The solution to this equation could not be determined.
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