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Simplifying 6(2x + 1) = -2(4x + 27) Reorder the terms: 6(1 + 2x) = -2(4x + 27) (1 * 6 + 2x * 6) = -2(4x + 27) (6 + 12x) = -2(4x + 27) Reorder the terms: 6 + 12x = -2(27 + 4x) 6 + 12x = (27 * -2 + 4x * -2) 6 + 12x = (-54 + -8x) Solving 6 + 12x = -54 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 12x + 8x = -54 + -8x + 8x Combine like terms: 12x + 8x = 20x 6 + 20x = -54 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 20x = -54 + 0 6 + 20x = -54 Add '-6' to each side of the equation. 6 + -6 + 20x = -54 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = -54 + -6 20x = -54 + -6 Combine like terms: -54 + -6 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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