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Simplifying G(x + 5) = (x + 5) + 2(x + 5) + 3 Reorder the terms: G(5 + x) = (x + 5) + 2(x + 5) + 3 (5 * G + x * G) = (x + 5) + 2(x + 5) + 3 (5G + xG) = (x + 5) + 2(x + 5) + 3 Reorder the terms: 5G + xG = (5 + x) + 2(x + 5) + 3 Remove parenthesis around (5 + x) 5G + xG = 5 + x + 2(x + 5) + 3 Reorder the terms: 5G + xG = 5 + x + 2(5 + x) + 3 5G + xG = 5 + x + (5 * 2 + x * 2) + 3 5G + xG = 5 + x + (10 + 2x) + 3 Reorder the terms: 5G + xG = 5 + 10 + 3 + x + 2x Combine like terms: 5 + 10 = 15 5G + xG = 15 + 3 + x + 2x Combine like terms: 15 + 3 = 18 5G + xG = 18 + x + 2x Combine like terms: x + 2x = 3x 5G + xG = 18 + 3x Solving 5G + xG = 18 + 3x Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Reorder the terms: -18 + 5G + -3x + xG = 18 + 3x + -18 + -3x Reorder the terms: -18 + 5G + -3x + xG = 18 + -18 + 3x + -3x Combine like terms: 18 + -18 = 0 -18 + 5G + -3x + xG = 0 + 3x + -3x -18 + 5G + -3x + xG = 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 5G + -3x + xG = 0 The solution to this equation could not be determined.
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