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Simplifying 4x + -5 + 5x + -4 = 2x + 30 Reorder the terms: -5 + -4 + 4x + 5x = 2x + 30 Combine like terms: -5 + -4 = -9 -9 + 4x + 5x = 2x + 30 Combine like terms: 4x + 5x = 9x -9 + 9x = 2x + 30 Reorder the terms: -9 + 9x = 30 + 2x Solving -9 + 9x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 9x + -2x = 30 + 2x + -2x Combine like terms: 9x + -2x = 7x -9 + 7x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 7x = 30 + 0 -9 + 7x = 30 Add '9' to each side of the equation. -9 + 9 + 7x = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 30 + 9 7x = 30 + 9 Combine like terms: 30 + 9 = 39 7x = 39 Divide each side by '7'. x = 5.571428571 Simplifying x = 5.571428571
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