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Simplifying 5x + -15 + -7xg + 21 = 3x + -3x + -9 + -9x + 27 Reorder the terms: -15 + 21 + -7gx + 5x = 3x + -3x + -9 + -9x + 27 Combine like terms: -15 + 21 = 6 6 + -7gx + 5x = 3x + -3x + -9 + -9x + 27 Reorder the terms: 6 + -7gx + 5x = -9 + 27 + 3x + -3x + -9x Combine like terms: -9 + 27 = 18 6 + -7gx + 5x = 18 + 3x + -3x + -9x Combine like terms: 3x + -3x = 0 6 + -7gx + 5x = 18 + 0 + -9x 6 + -7gx + 5x = 18 + -9x Solving 6 + -7gx + 5x = 18 + -9x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7gx + -6 + 5x = 18 + -6 + -9x Reorder the terms: 6 + -6 + -7gx + 5x = 18 + -6 + -9x Combine like terms: 6 + -6 = 0 0 + -7gx + 5x = 18 + -6 + -9x -7gx + 5x = 18 + -6 + -9x Combine like terms: 18 + -6 = 12 -7gx + 5x = 12 + -9x Add '-5x' to each side of the equation. -7gx + 5x + -5x = 12 + -9x + -5x Combine like terms: 5x + -5x = 0 -7gx + 0 = 12 + -9x + -5x -7gx = 12 + -9x + -5x Combine like terms: -9x + -5x = -14x -7gx = 12 + -14x Divide each side by '-7x'. g = -1.714285714x-1 + 2 Simplifying g = -1.714285714x-1 + 2 Reorder the terms: g = 2 + -1.714285714x-1
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