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Simplifying f(x) = x2 + -5x + 7atf(x + 3) Multiply f * x fx = x2 + -5x + 7atf(x + 3) Reorder the terms: fx = x2 + -5x + 7aft(3 + x) fx = x2 + -5x + (3 * 7aft + x * 7aft) fx = x2 + -5x + (21aft + 7aftx) Reorder the terms: fx = 21aft + 7aftx + -5x + x2 Solving fx = 21aft + 7aftx + -5x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21aft' to each side of the equation. -21aft + fx = 21aft + 7aftx + -5x + -21aft + x2 Reorder the terms: -21aft + fx = 21aft + -21aft + 7aftx + -5x + x2 Combine like terms: 21aft + -21aft = 0 -21aft + fx = 0 + 7aftx + -5x + x2 -21aft + fx = 7aftx + -5x + x2 Add '-7aftx' to each side of the equation. -21aft + -7aftx + fx = 7aftx + -5x + -7aftx + x2 Reorder the terms: -21aft + -7aftx + fx = 7aftx + -7aftx + -5x + x2 Combine like terms: 7aftx + -7aftx = 0 -21aft + -7aftx + fx = 0 + -5x + x2 -21aft + -7aftx + fx = -5x + x2 Reorder the terms: -21aft + -7aftx + fx + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -21aft + -7aftx + fx + 5x + -1x2 = 0 + x2 + -1x2 -21aft + -7aftx + fx + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21aft + -7aftx + fx + 5x + -1x2 = 0 The solution to this equation could not be determined.
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