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Simplifying 7 + 3x + -11 + 4x = 2x + 3 + 2x + 4 Reorder the terms: 7 + -11 + 3x + 4x = 2x + 3 + 2x + 4 Combine like terms: 7 + -11 = -4 -4 + 3x + 4x = 2x + 3 + 2x + 4 Combine like terms: 3x + 4x = 7x -4 + 7x = 2x + 3 + 2x + 4 Reorder the terms: -4 + 7x = 3 + 4 + 2x + 2x Combine like terms: 3 + 4 = 7 -4 + 7x = 7 + 2x + 2x Combine like terms: 2x + 2x = 4x -4 + 7x = 7 + 4x Solving -4 + 7x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 7x + -4x = 7 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 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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