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Simplifying f(x) = 6x + -7f(-1x) Multiply f * x fx = 6x + -7f(-1x) Remove parenthesis around (-1x) fx = 6x + -7f * -1x Reorder the terms for easier multiplication: fx = 6x + -7 * -1f * x Multiply -7 * -1 fx = 6x + 7f * x Multiply f * x fx = 6x + 7fx Reorder the terms: fx = 7fx + 6x Solving fx = 7fx + 6x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7fx' to each side of the equation. fx + -7fx = 7fx + -7fx + 6x Combine like terms: fx + -7fx = -6fx -6fx = 7fx + -7fx + 6x Combine like terms: 7fx + -7fx = 0 -6fx = 0 + 6x -6fx = 6x Divide each side by '-6x'. f = -1 Simplifying f = -1
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