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Simplifying 43 + 13x + -1x(247x + -1) = 57 + -7x + 22 + -1x(247x + -1) Reorder the terms: 43 + 13x + -1x(-1 + 247x) = 57 + -7x + 22 + -1x(247x + -1) 43 + 13x + (-1 * -1x + 247x * -1x) = 57 + -7x + 22 + -1x(247x + -1) 43 + 13x + (1x + -247x2) = 57 + -7x + 22 + -1x(247x + -1) Combine like terms: 13x + 1x = 14x 43 + 14x + -247x2 = 57 + -7x + 22 + -1x(247x + -1) Reorder the terms: 43 + 14x + -247x2 = 57 + -7x + 22 + -1x(-1 + 247x) 43 + 14x + -247x2 = 57 + -7x + 22 + (-1 * -1x + 247x * -1x) 43 + 14x + -247x2 = 57 + -7x + 22 + (1x + -247x2) Reorder the terms: 43 + 14x + -247x2 = 57 + 22 + -7x + 1x + -247x2 Combine like terms: 57 + 22 = 79 43 + 14x + -247x2 = 79 + -7x + 1x + -247x2 Combine like terms: -7x + 1x = -6x 43 + 14x + -247x2 = 79 + -6x + -247x2 Add '247x2' to each side of the equation. 43 + 14x + -247x2 + 247x2 = 79 + -6x + -247x2 + 247x2 Combine like terms: -247x2 + 247x2 = 0 43 + 14x + 0 = 79 + -6x + -247x2 + 247x2 43 + 14x = 79 + -6x + -247x2 + 247x2 Combine like terms: -247x2 + 247x2 = 0 43 + 14x = 79 + -6x + 0 43 + 14x = 79 + -6x Solving 43 + 14x = 79 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 43 + 14x + 6x = 79 + -6x + 6x Combine like terms: 14x + 6x = 20x 43 + 20x = 79 + -6x + 6x Combine like terms: -6x + 6x = 0 43 + 20x = 79 + 0 43 + 20x = 79 Add '-43' to each side of the equation. 43 + -43 + 20x = 79 + -43 Combine like terms: 43 + -43 = 0 0 + 20x = 79 + -43 20x = 79 + -43 Combine like terms: 79 + -43 = 36 20x = 36 Divide each side by '20'. x = 1.8 Simplifying x = 1.8
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