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Simplifying 4x + -6 = 2 + 7x Reorder the terms: -6 + 4x = 2 + 7x Solving -6 + 4x = 2 + 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. -6 + 4x + -7x = 2 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = 2 + 0 -6 + -3x = 2 Add '6' to each side of the equation. -6 + 6 + -3x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 2 + 6 -3x = 2 + 6 Combine like terms: 2 + 6 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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