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Simplifying 10x + 3g + -3x + 6g = 50 Reorder the terms: 3g + 6g + 10x + -3x = 50 Combine like terms: 3g + 6g = 9g 9g + 10x + -3x = 50 Combine like terms: 10x + -3x = 7x 9g + 7x = 50 Solving 9g + 7x = 50 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7x' to each side of the equation. 9g + 7x + -7x = 50 + -7x Combine like terms: 7x + -7x = 0 9g + 0 = 50 + -7x 9g = 50 + -7x Divide each side by '9'. g = 5.555555556 + -0.7777777778x Simplifying g = 5.555555556 + -0.7777777778x
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