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Simplifying -5x + 4(1 + 7x) = 27 -5x + (1 * 4 + 7x * 4) = 27 -5x + (4 + 28x) = 27 Reorder the terms: 4 + -5x + 28x = 27 Combine like terms: -5x + 28x = 23x 4 + 23x = 27 Solving 4 + 23x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 23x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + 23x = 27 + -4 23x = 27 + -4 Combine like terms: 27 + -4 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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