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Simplifying F(x) = -4(2x + -3) + 8(2x + 1) Multiply F * x xF = -4(2x + -3) + 8(2x + 1) Reorder the terms: xF = -4(-3 + 2x) + 8(2x + 1) xF = (-3 * -4 + 2x * -4) + 8(2x + 1) xF = (12 + -8x) + 8(2x + 1) Reorder the terms: xF = 12 + -8x + 8(1 + 2x) xF = 12 + -8x + (1 * 8 + 2x * 8) xF = 12 + -8x + (8 + 16x) Reorder the terms: xF = 12 + 8 + -8x + 16x Combine like terms: 12 + 8 = 20 xF = 20 + -8x + 16x Combine like terms: -8x + 16x = 8x xF = 20 + 8x Solving xF = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8x + xF = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -8x + xF = 20 + 0 -8x + xF = 20 Reorder the terms: -20 + -8x + xF = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -8x + xF = 0 The solution to this equation could not be determined.
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