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Simplifying -27 = 2x + 5(x + -4) Reorder the terms: -27 = 2x + 5(-4 + x) -27 = 2x + (-4 * 5 + x * 5) -27 = 2x + (-20 + 5x) Reorder the terms: -27 = -20 + 2x + 5x Combine like terms: 2x + 5x = 7x -27 = -20 + 7x Solving -27 = -20 + 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 + -7x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + -7x = -20 + 0 -27 + -7x = -20 Add '27' to each side of the equation. -27 + 27 + -7x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = -20 + 27 -7x = -20 + 27 Combine like terms: -20 + 27 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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