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Simplifying g(x) = -2x3 + x2 + -4x + 5g(-2) Multiply g * x gx = -2x3 + x2 + -4x + 5g(-2) Reorder the terms for easier multiplication: gx = -2x3 + x2 + -4x + 5 * -2g Multiply 5 * -2 gx = -2x3 + x2 + -4x + -10g Reorder the terms: gx = -10g + -4x + x2 + -2x3 Solving gx = -10g + -4x + x2 + -2x3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10g' to each side of the equation. 10g + gx = -10g + -4x + x2 + 10g + -2x3 Reorder the terms: 10g + gx = -10g + 10g + -4x + x2 + -2x3 Combine like terms: -10g + 10g = 0 10g + gx = 0 + -4x + x2 + -2x3 10g + gx = -4x + x2 + -2x3 Reorder the terms: 10g + gx + 4x + -1x2 + 2x3 = -4x + 4x + x2 + -1x2 + -2x3 + 2x3 Combine like terms: -4x + 4x = 0 10g + gx + 4x + -1x2 + 2x3 = 0 + x2 + -1x2 + -2x3 + 2x3 10g + gx + 4x + -1x2 + 2x3 = x2 + -1x2 + -2x3 + 2x3 Combine like terms: x2 + -1x2 = 0 10g + gx + 4x + -1x2 + 2x3 = 0 + -2x3 + 2x3 10g + gx + 4x + -1x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 10g + gx + 4x + -1x2 + 2x3 = 0 The solution to this equation could not be determined.
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