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Simplifying 7x + 4x + -40 = 80 + -9x Reorder the terms: -40 + 7x + 4x = 80 + -9x Combine like terms: 7x + 4x = 11x -40 + 11x = 80 + -9x Solving -40 + 11x = 80 + -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. -40 + 11x + 9x = 80 + -9x + 9x Combine like terms: 11x + 9x = 20x -40 + 20x = 80 + -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 20x = 80 + 0 -40 + 20x = 80 Add '40' to each side of the equation. -40 + 40 + 20x = 80 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 80 + 40 20x = 80 + 40 Combine like terms: 80 + 40 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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