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Simplifying 4x + -7 + 3x = 14 + 2x + -11 Reorder the terms: -7 + 4x + 3x = 14 + 2x + -11 Combine like terms: 4x + 3x = 7x -7 + 7x = 14 + 2x + -11 Reorder the terms: -7 + 7x = 14 + -11 + 2x Combine like terms: 14 + -11 = 3 -7 + 7x = 3 + 2x Solving -7 + 7x = 3 + 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. -7 + 7x + -2x = 3 + 2x + -2x Combine like terms: 7x + -2x = 5x -7 + 5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 5x = 3 + 0 -7 + 5x = 3 Add '7' to each side of the equation. -7 + 7 + 5x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 3 + 7 5x = 3 + 7 Combine like terms: 3 + 7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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