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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 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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