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Simplifying 7x + 9x + -20 = 100 + -4x Reorder the terms: -20 + 7x + 9x = 100 + -4x Combine like terms: 7x + 9x = 16x -20 + 16x = 100 + -4x Solving -20 + 16x = 100 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 16x + 4x = 100 + -4x + 4x Combine like terms: 16x + 4x = 20x -20 + 20x = 100 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 20x = 100 + 0 -20 + 20x = 100 Add '20' to each side of the equation. -20 + 20 + 20x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = 100 + 20 20x = 100 + 20 Combine like terms: 100 + 20 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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