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Simplifying 6x + 27 = -7(x + -2) Reorder the terms: 27 + 6x = -7(x + -2) Reorder the terms: 27 + 6x = -7(-2 + x) 27 + 6x = (-2 * -7 + x * -7) 27 + 6x = (14 + -7x) Solving 27 + 6x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 27 + 6x + 7x = 14 + -7x + 7x Combine like terms: 6x + 7x = 13x 27 + 13x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 27 + 13x = 14 + 0 27 + 13x = 14 Add '-27' to each side of the equation. 27 + -27 + 13x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 13x = 14 + -27 13x = 14 + -27 Combine like terms: 14 + -27 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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