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Simplifying -6x + -4(9 + -7x) = -5x + 1 -6x + (9 * -4 + -7x * -4) = -5x + 1 -6x + (-36 + 28x) = -5x + 1 Reorder the terms: -36 + -6x + 28x = -5x + 1 Combine like terms: -6x + 28x = 22x -36 + 22x = -5x + 1 Reorder the terms: -36 + 22x = 1 + -5x Solving -36 + 22x = 1 + -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. -36 + 22x + 5x = 1 + -5x + 5x Combine like terms: 22x + 5x = 27x -36 + 27x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 27x = 1 + 0 -36 + 27x = 1 Add '36' to each side of the equation. -36 + 36 + 27x = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 27x = 1 + 36 27x = 1 + 36 Combine like terms: 1 + 36 = 37 27x = 37 Divide each side by '27'. x = 1.37037037 Simplifying x = 1.37037037
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