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Simplifying 3(x + 2) + -11 = 2x + (5 + -4x) Reorder the terms: 3(2 + x) + -11 = 2x + (5 + -4x) (2 * 3 + x * 3) + -11 = 2x + (5 + -4x) (6 + 3x) + -11 = 2x + (5 + -4x) Reorder the terms: 6 + -11 + 3x = 2x + (5 + -4x) Combine like terms: 6 + -11 = -5 -5 + 3x = 2x + (5 + -4x) Remove parenthesis around (5 + -4x) -5 + 3x = 2x + 5 + -4x Reorder the terms: -5 + 3x = 5 + 2x + -4x Combine like terms: 2x + -4x = -2x -5 + 3x = 5 + -2x Solving -5 + 3x = 5 + -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. -5 + 3x + 2x = 5 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = 5 + 0 -5 + 5x = 5 Add '5' to each side of the equation. -5 + 5 + 5x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 5 + 5 5x = 5 + 5 Combine like terms: 5 + 5 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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