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Simplifying -43 + -4x = 3(1 + -9x) -43 + -4x = (1 * 3 + -9x * 3) -43 + -4x = (3 + -27x) Solving -43 + -4x = 3 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -43 + -4x + 27x = 3 + -27x + 27x Combine like terms: -4x + 27x = 23x -43 + 23x = 3 + -27x + 27x Combine like terms: -27x + 27x = 0 -43 + 23x = 3 + 0 -43 + 23x = 3 Add '43' to each side of the equation. -43 + 43 + 23x = 3 + 43 Combine like terms: -43 + 43 = 0 0 + 23x = 3 + 43 23x = 3 + 43 Combine like terms: 3 + 43 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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