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Simplifying 27 + -5x = 3(5 + -4x) + -2 27 + -5x = (5 * 3 + -4x * 3) + -2 27 + -5x = (15 + -12x) + -2 Reorder the terms: 27 + -5x = 15 + -2 + -12x Combine like terms: 15 + -2 = 13 27 + -5x = 13 + -12x Solving 27 + -5x = 13 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 27 + -5x + 12x = 13 + -12x + 12x Combine like terms: -5x + 12x = 7x 27 + 7x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 27 + 7x = 13 + 0 27 + 7x = 13 Add '-27' to each side of the equation. 27 + -27 + 7x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 13 + -27 7x = 13 + -27 Combine like terms: 13 + -27 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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