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Simplifying -309 = 8x + -5(1 + -6x) -309 = 8x + (1 * -5 + -6x * -5) -309 = 8x + (-5 + 30x) Reorder the terms: -309 = -5 + 8x + 30x Combine like terms: 8x + 30x = 38x -309 = -5 + 38x Solving -309 = -5 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -309 + -38x = -5 + 38x + -38x Combine like terms: 38x + -38x = 0 -309 + -38x = -5 + 0 -309 + -38x = -5 Add '309' to each side of the equation. -309 + 309 + -38x = -5 + 309 Combine like terms: -309 + 309 = 0 0 + -38x = -5 + 309 -38x = -5 + 309 Combine like terms: -5 + 309 = 304 -38x = 304 Divide each side by '-38'. x = -8 Simplifying x = -8
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