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Simplifying g(x) = x2 + -10x + -3g(x + 2) Multiply g * x gx = x2 + -10x + -3g(x + 2) Reorder the terms: gx = x2 + -10x + -3g(2 + x) gx = x2 + -10x + (2 * -3g + x * -3g) gx = x2 + -10x + (-6g + -3gx) Reorder the terms: gx = -6g + -3gx + -10x + x2 Solving gx = -6g + -3gx + -10x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. 6g + gx = -6g + -3gx + -10x + 6g + x2 Reorder the terms: 6g + gx = -6g + 6g + -3gx + -10x + x2 Combine like terms: -6g + 6g = 0 6g + gx = 0 + -3gx + -10x + x2 6g + gx = -3gx + -10x + x2 Add '3gx' to each side of the equation. 6g + gx + 3gx = -3gx + -10x + 3gx + x2 Combine like terms: gx + 3gx = 4gx 6g + 4gx = -3gx + -10x + 3gx + x2 Reorder the terms: 6g + 4gx = -3gx + 3gx + -10x + x2 Combine like terms: -3gx + 3gx = 0 6g + 4gx = 0 + -10x + x2 6g + 4gx = -10x + x2 Reorder the terms: 6g + 4gx + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 6g + 4gx + 10x + -1x2 = 0 + x2 + -1x2 6g + 4gx + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6g + 4gx + 10x + -1x2 = 0 The solution to this equation could not be determined.
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