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Simplifying 2x + 3x + 4x + -5 = 2x + 3 + 4x Reorder the terms: -5 + 2x + 3x + 4x = 2x + 3 + 4x Combine like terms: 2x + 3x = 5x -5 + 5x + 4x = 2x + 3 + 4x Combine like terms: 5x + 4x = 9x -5 + 9x = 2x + 3 + 4x Reorder the terms: -5 + 9x = 3 + 2x + 4x Combine like terms: 2x + 4x = 6x -5 + 9x = 3 + 6x Solving -5 + 9x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 9x + -6x = 3 + 6x + -6x Combine like terms: 9x + -6x = 3x -5 + 3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 3x = 3 + 0 -5 + 3x = 3 Add '5' to each side of the equation. -5 + 5 + 3x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 3 + 5 3x = 3 + 5 Combine like terms: 3 + 5 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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