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Simplifying 6x + -1(x + 2) = 3x + 11 + -1x Reorder the terms: 6x + -1(2 + x) = 3x + 11 + -1x 6x + (2 * -1 + x * -1) = 3x + 11 + -1x 6x + (-2 + -1x) = 3x + 11 + -1x Reorder the terms: -2 + 6x + -1x = 3x + 11 + -1x Combine like terms: 6x + -1x = 5x -2 + 5x = 3x + 11 + -1x Reorder the terms: -2 + 5x = 11 + 3x + -1x Combine like terms: 3x + -1x = 2x -2 + 5x = 11 + 2x Solving -2 + 5x = 11 + 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. -2 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = 11 + 0 -2 + 3x = 11 Add '2' to each side of the equation. -2 + 2 + 3x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 11 + 2 3x = 11 + 2 Combine like terms: 11 + 2 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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