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Simplifying -6(x + 6) = -5x + -34 Reorder the terms: -6(6 + x) = -5x + -34 (6 * -6 + x * -6) = -5x + -34 (-36 + -6x) = -5x + -34 Reorder the terms: -36 + -6x = -34 + -5x Solving -36 + -6x = -34 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + -6x + 5x = -34 + -5x + 5x Combine like terms: -6x + 5x = -1x -36 + -1x = -34 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + -1x = -34 + 0 -36 + -1x = -34 Add '36' to each side of the equation. -36 + 36 + -1x = -34 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -34 + 36 -1x = -34 + 36 Combine like terms: -34 + 36 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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