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Simplifying 6 + -2(2x + 1) = 11x + -2(11 + x) Reorder the terms: 6 + -2(1 + 2x) = 11x + -2(11 + x) 6 + (1 * -2 + 2x * -2) = 11x + -2(11 + x) 6 + (-2 + -4x) = 11x + -2(11 + x) Combine like terms: 6 + -2 = 4 4 + -4x = 11x + -2(11 + x) 4 + -4x = 11x + (11 * -2 + x * -2) 4 + -4x = 11x + (-22 + -2x) Reorder the terms: 4 + -4x = -22 + 11x + -2x Combine like terms: 11x + -2x = 9x 4 + -4x = -22 + 9x Solving 4 + -4x = -22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + -4x + -9x = -22 + 9x + -9x Combine like terms: -4x + -9x = -13x 4 + -13x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -13x = -22 + 0 4 + -13x = -22 Add '-4' to each side of the equation. 4 + -4 + -13x = -22 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -22 + -4 -13x = -22 + -4 Combine like terms: -22 + -4 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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