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Simplifying 6g + 2(-5 + 3x) = 1 + -1x 6g + (-5 * 2 + 3x * 2) = 1 + -1x 6g + (-10 + 6x) = 1 + -1x Reorder the terms: -10 + 6g + 6x = 1 + -1x Solving -10 + 6g + 6x = 1 + -1x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6g + 10 + 6x = 1 + 10 + -1x Reorder the terms: -10 + 10 + 6g + 6x = 1 + 10 + -1x Combine like terms: -10 + 10 = 0 0 + 6g + 6x = 1 + 10 + -1x 6g + 6x = 1 + 10 + -1x Combine like terms: 1 + 10 = 11 6g + 6x = 11 + -1x Add '-6x' to each side of the equation. 6g + 6x + -6x = 11 + -1x + -6x Combine like terms: 6x + -6x = 0 6g + 0 = 11 + -1x + -6x 6g = 11 + -1x + -6x Combine like terms: -1x + -6x = -7x 6g = 11 + -7x Divide each side by '6'. g = 1.833333333 + -1.166666667x Simplifying g = 1.833333333 + -1.166666667x
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