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Simplifying 2(14x + -41) = 4 + -5(x + 6) Reorder the terms: 2(-41 + 14x) = 4 + -5(x + 6) (-41 * 2 + 14x * 2) = 4 + -5(x + 6) (-82 + 28x) = 4 + -5(x + 6) Reorder the terms: -82 + 28x = 4 + -5(6 + x) -82 + 28x = 4 + (6 * -5 + x * -5) -82 + 28x = 4 + (-30 + -5x) Combine like terms: 4 + -30 = -26 -82 + 28x = -26 + -5x Solving -82 + 28x = -26 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -82 + 28x + 5x = -26 + -5x + 5x Combine like terms: 28x + 5x = 33x -82 + 33x = -26 + -5x + 5x Combine like terms: -5x + 5x = 0 -82 + 33x = -26 + 0 -82 + 33x = -26 Add '82' to each side of the equation. -82 + 82 + 33x = -26 + 82 Combine like terms: -82 + 82 = 0 0 + 33x = -26 + 82 33x = -26 + 82 Combine like terms: -26 + 82 = 56 33x = 56 Divide each side by '33'. x = 1.696969697 Simplifying x = 1.696969697
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