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Simplifying 4x + x + -5 = 7x + -5x + 6 Reorder the terms: -5 + 4x + x = 7x + -5x + 6 Combine like terms: 4x + x = 5x -5 + 5x = 7x + -5x + 6 Reorder the terms: -5 + 5x = 6 + 7x + -5x Combine like terms: 7x + -5x = 2x -5 + 5x = 6 + 2x Solving -5 + 5x = 6 + 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. -5 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = 6 + 0 -5 + 3x = 6 Add '5' to each side of the equation. -5 + 5 + 3x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 6 + 5 3x = 6 + 5 Combine like terms: 6 + 5 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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