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Simplifying 5x + -4 + -7x = 3x + 6 Reorder the terms: -4 + 5x + -7x = 3x + 6 Combine like terms: 5x + -7x = -2x -4 + -2x = 3x + 6 Reorder the terms: -4 + -2x = 6 + 3x Solving -4 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x -4 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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