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Simplifying -27 + -4x = 7(x + 4) Reorder the terms: -27 + -4x = 7(4 + x) -27 + -4x = (4 * 7 + x * 7) -27 + -4x = (28 + 7x) Solving -27 + -4x = 28 + 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 + -4x + -7x = 28 + 7x + -7x Combine like terms: -4x + -7x = -11x -27 + -11x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + -11x = 28 + 0 -27 + -11x = 28 Add '27' to each side of the equation. -27 + 27 + -11x = 28 + 27 Combine like terms: -27 + 27 = 0 0 + -11x = 28 + 27 -11x = 28 + 27 Combine like terms: 28 + 27 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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