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Simplifying 3x + 1 + gx = 6 + -0.5x Reorder the terms: 1 + gx + 3x = 6 + -0.5x Solving 1 + gx + 3x = 6 + -0.5x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + gx + -1 + 3x = 6 + -1 + -0.5x Reorder the terms: 1 + -1 + gx + 3x = 6 + -1 + -0.5x Combine like terms: 1 + -1 = 0 0 + gx + 3x = 6 + -1 + -0.5x gx + 3x = 6 + -1 + -0.5x Combine like terms: 6 + -1 = 5 gx + 3x = 5 + -0.5x Add '-3x' to each side of the equation. gx + 3x + -3x = 5 + -0.5x + -3x Combine like terms: 3x + -3x = 0 gx + 0 = 5 + -0.5x + -3x gx = 5 + -0.5x + -3x Combine like terms: -0.5x + -3x = -3.5x gx = 5 + -3.5x Divide each side by 'x'. g = 5x-1 + -3.5 Simplifying g = 5x-1 + -3.5 Reorder the terms: g = -3.5 + 5x-1
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