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Simplifying -27 + 8x = 5(1 + 8x) -27 + 8x = (1 * 5 + 8x * 5) -27 + 8x = (5 + 40x) Solving -27 + 8x = 5 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -27 + 8x + -40x = 5 + 40x + -40x Combine like terms: 8x + -40x = -32x -27 + -32x = 5 + 40x + -40x Combine like terms: 40x + -40x = 0 -27 + -32x = 5 + 0 -27 + -32x = 5 Add '27' to each side of the equation. -27 + 27 + -32x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -32x = 5 + 27 -32x = 5 + 27 Combine like terms: 5 + 27 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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