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Simplifying 11x + -3(4x + -2) = 2(8 + 2x) Reorder the terms: 11x + -3(-2 + 4x) = 2(8 + 2x) 11x + (-2 * -3 + 4x * -3) = 2(8 + 2x) 11x + (6 + -12x) = 2(8 + 2x) Reorder the terms: 6 + 11x + -12x = 2(8 + 2x) Combine like terms: 11x + -12x = -1x 6 + -1x = 2(8 + 2x) 6 + -1x = (8 * 2 + 2x * 2) 6 + -1x = (16 + 4x) Solving 6 + -1x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -1x + -4x = 16 + 4x + -4x Combine like terms: -1x + -4x = -5x 6 + -5x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -5x = 16 + 0 6 + -5x = 16 Add '-6' to each side of the equation. 6 + -6 + -5x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 16 + -6 -5x = 16 + -6 Combine like terms: 16 + -6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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