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Simplifying (5x + 3x + -2) + -1(x + -4x + 1) = 0 Reorder the terms: (-2 + 5x + 3x) + -1(x + -4x + 1) = 0 Combine like terms: 5x + 3x = 8x (-2 + 8x) + -1(x + -4x + 1) = 0 Remove parenthesis around (-2 + 8x) -2 + 8x + -1(x + -4x + 1) = 0 Reorder the terms: -2 + 8x + -1(1 + x + -4x) = 0 Combine like terms: x + -4x = -3x -2 + 8x + -1(1 + -3x) = 0 -2 + 8x + (1 * -1 + -3x * -1) = 0 -2 + 8x + (-1 + 3x) = 0 Reorder the terms: -2 + -1 + 8x + 3x = 0 Combine like terms: -2 + -1 = -3 -3 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x -3 + 11x = 0 Solving -3 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 0 + 3 11x = 0 + 3 Combine like terms: 0 + 3 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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