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Simplifying 27 + 6x = -6(x + -1) + -3 Reorder the terms: 27 + 6x = -6(-1 + x) + -3 27 + 6x = (-1 * -6 + x * -6) + -3 27 + 6x = (6 + -6x) + -3 Reorder the terms: 27 + 6x = 6 + -3 + -6x Combine like terms: 6 + -3 = 3 27 + 6x = 3 + -6x Solving 27 + 6x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 27 + 6x + 6x = 3 + -6x + 6x Combine like terms: 6x + 6x = 12x 27 + 12x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 12x = 3 + 0 27 + 12x = 3 Add '-27' to each side of the equation. 27 + -27 + 12x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 3 + -27 12x = 3 + -27 Combine like terms: 3 + -27 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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