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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) Reorder the terms: 27 = -28 + 4x + 7x Combine like terms: 4x + 7x = 11x 27 = -28 + 11x Solving 27 = -28 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + -11x = -28 + 11x + -11x Combine like terms: 11x + -11x = 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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