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Simplifying F(x) = (7 + -4x)(0.5x + 3) Multiply F * x xF = (7 + -4x)(0.5x + 3) Reorder the terms: xF = (7 + -4x)(3 + 0.5x) Multiply (7 + -4x) * (3 + 0.5x) xF = (7(3 + 0.5x) + -4x * (3 + 0.5x)) xF = ((3 * 7 + 0.5x * 7) + -4x * (3 + 0.5x)) xF = ((21 + 3.5x) + -4x * (3 + 0.5x)) xF = (21 + 3.5x + (3 * -4x + 0.5x * -4x)) xF = (21 + 3.5x + (-12x + -2x2)) Combine like terms: 3.5x + -12x = -8.5x xF = (21 + -8.5x + -2x2) Solving xF = 21 + -8.5x + -2x2 Solving for variable 'x'. Reorder the terms: -21 + 8.5x + xF + 2x2 = 21 + -8.5x + -2x2 + -21 + 8.5x + 2x2 Reorder the terms: -21 + 8.5x + xF + 2x2 = 21 + -21 + -8.5x + 8.5x + -2x2 + 2x2 Combine like terms: 21 + -21 = 0 -21 + 8.5x + xF + 2x2 = 0 + -8.5x + 8.5x + -2x2 + 2x2 -21 + 8.5x + xF + 2x2 = -8.5x + 8.5x + -2x2 + 2x2 Combine like terms: -8.5x + 8.5x = 0.0 -21 + 8.5x + xF + 2x2 = 0.0 + -2x2 + 2x2 -21 + 8.5x + xF + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -21 + 8.5x + xF + 2x2 = 0 The solution to this equation could not be determined.
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