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Simplifying 27 + 5x = -2(4x + -7) Reorder the terms: 27 + 5x = -2(-7 + 4x) 27 + 5x = (-7 * -2 + 4x * -2) 27 + 5x = (14 + -8x) Solving 27 + 5x = 14 + -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. 27 + 5x + 8x = 14 + -8x + 8x Combine like terms: 5x + 8x = 13x 27 + 13x = 14 + -8x + 8x Combine like terms: -8x + 8x = 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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