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Simplifying 3(2 + -4x) = 2(x + 11) (2 * 3 + -4x * 3) = 2(x + 11) (6 + -12x) = 2(x + 11) Reorder the terms: 6 + -12x = 2(11 + x) 6 + -12x = (11 * 2 + x * 2) 6 + -12x = (22 + 2x) Solving 6 + -12x = 22 + 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. 6 + -12x + -2x = 22 + 2x + -2x Combine like terms: -12x + -2x = -14x 6 + -14x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -14x = 22 + 0 6 + -14x = 22 Add '-6' to each side of the equation. 6 + -6 + -14x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = 22 + -6 -14x = 22 + -6 Combine like terms: 22 + -6 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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