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Simplifying 2x + -3 + 4x + -1(5 + 5x) + 2x = 11 2x + -3 + 4x + (5 * -1 + 5x * -1) + 2x = 11 2x + -3 + 4x + (-5 + -5x) + 2x = 11 Reorder the terms: -3 + -5 + 2x + 4x + -5x + 2x = 11 Combine like terms: -3 + -5 = -8 -8 + 2x + 4x + -5x + 2x = 11 Combine like terms: 2x + 4x = 6x -8 + 6x + -5x + 2x = 11 Combine like terms: 6x + -5x = 1x -8 + 1x + 2x = 11 Combine like terms: 1x + 2x = 3x -8 + 3x = 11 Solving -8 + 3x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 11 + 8 3x = 11 + 8 Combine like terms: 11 + 8 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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