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Simplifying 27 + -5x = 4x + 6(-5x + 1) Reorder the terms: 27 + -5x = 4x + 6(1 + -5x) 27 + -5x = 4x + (1 * 6 + -5x * 6) 27 + -5x = 4x + (6 + -30x) Reorder the terms: 27 + -5x = 6 + 4x + -30x Combine like terms: 4x + -30x = -26x 27 + -5x = 6 + -26x Solving 27 + -5x = 6 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 27 + -5x + 26x = 6 + -26x + 26x Combine like terms: -5x + 26x = 21x 27 + 21x = 6 + -26x + 26x Combine like terms: -26x + 26x = 0 27 + 21x = 6 + 0 27 + 21x = 6 Add '-27' to each side of the equation. 27 + -27 + 21x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 21x = 6 + -27 21x = 6 + -27 Combine like terms: 6 + -27 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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