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Simplifying 4x + 2(-7 + 2g) = 1g 4x + (-7 * 2 + 2g * 2) = 1g 4x + (-14 + 4g) = 1g Reorder the terms: -14 + 4g + 4x = 1g Solving -14 + 4g + 4x = 1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. -14 + 4g + -1g + 4x = 1g + -1g Combine like terms: 4g + -1g = 3g -14 + 3g + 4x = 1g + -1g Combine like terms: 1g + -1g = 0 -14 + 3g + 4x = 0 Add '14' to each side of the equation. -14 + 3g + 14 + 4x = 0 + 14 Reorder the terms: -14 + 14 + 3g + 4x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3g + 4x = 0 + 14 3g + 4x = 0 + 14 Combine like terms: 0 + 14 = 14 3g + 4x = 14 Add '-4x' to each side of the equation. 3g + 4x + -4x = 14 + -4x Combine like terms: 4x + -4x = 0 3g + 0 = 14 + -4x 3g = 14 + -4x Divide each side by '3'. g = 4.666666667 + -1.333333333x Simplifying g = 4.666666667 + -1.333333333x
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