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Simplifying -27 + -4x = 6(1 + 4x) + 5x -27 + -4x = (1 * 6 + 4x * 6) + 5x -27 + -4x = (6 + 24x) + 5x Combine like terms: 24x + 5x = 29x -27 + -4x = 6 + 29x Solving -27 + -4x = 6 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -27 + -4x + -29x = 6 + 29x + -29x Combine like terms: -4x + -29x = -33x -27 + -33x = 6 + 29x + -29x Combine like terms: 29x + -29x = 0 -27 + -33x = 6 + 0 -27 + -33x = 6 Add '27' to each side of the equation. -27 + 27 + -33x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + -33x = 6 + 27 -33x = 6 + 27 Combine like terms: 6 + 27 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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