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Simplifying 4x + 7x + -60 = 100 + -9x Reorder the terms: -60 + 4x + 7x = 100 + -9x Combine like terms: 4x + 7x = 11x -60 + 11x = 100 + -9x Solving -60 + 11x = 100 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -60 + 11x + 9x = 100 + -9x + 9x Combine like terms: 11x + 9x = 20x -60 + 20x = 100 + -9x + 9x Combine like terms: -9x + 9x = 0 -60 + 20x = 100 + 0 -60 + 20x = 100 Add '60' to each side of the equation. -60 + 60 + 20x = 100 + 60 Combine like terms: -60 + 60 = 0 0 + 20x = 100 + 60 20x = 100 + 60 Combine like terms: 100 + 60 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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