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Simplifying 21(2x + -11) = 3x + 43 Reorder the terms: 21(-11 + 2x) = 3x + 43 (-11 * 21 + 2x * 21) = 3x + 43 (-231 + 42x) = 3x + 43 Reorder the terms: -231 + 42x = 43 + 3x Solving -231 + 42x = 43 + 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. -231 + 42x + -3x = 43 + 3x + -3x Combine like terms: 42x + -3x = 39x -231 + 39x = 43 + 3x + -3x Combine like terms: 3x + -3x = 0 -231 + 39x = 43 + 0 -231 + 39x = 43 Add '231' to each side of the equation. -231 + 231 + 39x = 43 + 231 Combine like terms: -231 + 231 = 0 0 + 39x = 43 + 231 39x = 43 + 231 Combine like terms: 43 + 231 = 274 39x = 274 Divide each side by '39'. x = 7.025641026 Simplifying x = 7.025641026
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