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Simplifying F(x) = 2(4x + -5) + 8(2x + 6) Multiply F * x xF = 2(4x + -5) + 8(2x + 6) Reorder the terms: xF = 2(-5 + 4x) + 8(2x + 6) xF = (-5 * 2 + 4x * 2) + 8(2x + 6) xF = (-10 + 8x) + 8(2x + 6) Reorder the terms: xF = -10 + 8x + 8(6 + 2x) xF = -10 + 8x + (6 * 8 + 2x * 8) xF = -10 + 8x + (48 + 16x) Reorder the terms: xF = -10 + 48 + 8x + 16x Combine like terms: -10 + 48 = 38 xF = 38 + 8x + 16x Combine like terms: 8x + 16x = 24x xF = 38 + 24x Solving xF = 38 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24x + xF = 38 + 24x + -24x Combine like terms: 24x + -24x = 0 -24x + xF = 38 + 0 -24x + xF = 38 Reorder the terms: -38 + -24x + xF = 38 + -38 Combine like terms: 38 + -38 = 0 -38 + -24x + xF = 0 The solution to this equation could not be determined.
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