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