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Simplifying 11x + -2(2x + 1) = 3(x + -6) Reorder the terms: 11x + -2(1 + 2x) = 3(x + -6) 11x + (1 * -2 + 2x * -2) = 3(x + -6) 11x + (-2 + -4x) = 3(x + -6) Reorder the terms: -2 + 11x + -4x = 3(x + -6) Combine like terms: 11x + -4x = 7x -2 + 7x = 3(x + -6) Reorder the terms: -2 + 7x = 3(-6 + x) -2 + 7x = (-6 * 3 + x * 3) -2 + 7x = (-18 + 3x) Solving -2 + 7x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 7x + -3x = -18 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = -18 + 0 -2 + 4x = -18 Add '2' to each side of the equation. -2 + 2 + 4x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -18 + 2 4x = -18 + 2 Combine like terms: -18 + 2 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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