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Simplifying 4x + 6 + 5x + -9 = 2x + 5 + 4x + 6 Reorder the terms: 6 + -9 + 4x + 5x = 2x + 5 + 4x + 6 Combine like terms: 6 + -9 = -3 -3 + 4x + 5x = 2x + 5 + 4x + 6 Combine like terms: 4x + 5x = 9x -3 + 9x = 2x + 5 + 4x + 6 Reorder the terms: -3 + 9x = 5 + 6 + 2x + 4x Combine like terms: 5 + 6 = 11 -3 + 9x = 11 + 2x + 4x Combine like terms: 2x + 4x = 6x -3 + 9x = 11 + 6x Solving -3 + 9x = 11 + 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. -3 + 9x + -6x = 11 + 6x + -6x Combine like terms: 9x + -6x = 3x -3 + 3x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 3x = 11 + 0 -3 + 3x = 11 Add '3' to each side of the equation. -3 + 3 + 3x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 11 + 3 3x = 11 + 3 Combine like terms: 11 + 3 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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