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Simplifying 3(2 + -2x) = 11 + -4(2x + -3) (2 * 3 + -2x * 3) = 11 + -4(2x + -3) (6 + -6x) = 11 + -4(2x + -3) Reorder the terms: 6 + -6x = 11 + -4(-3 + 2x) 6 + -6x = 11 + (-3 * -4 + 2x * -4) 6 + -6x = 11 + (12 + -8x) Combine like terms: 11 + 12 = 23 6 + -6x = 23 + -8x Solving 6 + -6x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -6x + 8x = 23 + -8x + 8x Combine like terms: -6x + 8x = 2x 6 + 2x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 2x = 23 + 0 6 + 2x = 23 Add '-6' to each side of the equation. 6 + -6 + 2x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 23 + -6 2x = 23 + -6 Combine like terms: 23 + -6 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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