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Simplifying 4x + -5 = 7x + 6 Reorder the terms: -5 + 4x = 7x + 6 Reorder the terms: -5 + 4x = 6 + 7x Solving -5 + 4x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 4x + -7x = 6 + 7x + -7x Combine like terms: 4x + -7x = -3x -5 + -3x = 6 + 7x + -7x Combine like terms: 7x + -7x = 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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