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Simplifying -36 + -7x = -6(1 + 2x) + -5 -36 + -7x = (1 * -6 + 2x * -6) + -5 -36 + -7x = (-6 + -12x) + -5 Reorder the terms: -36 + -7x = -6 + -5 + -12x Combine like terms: -6 + -5 = -11 -36 + -7x = -11 + -12x Solving -36 + -7x = -11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -36 + -7x + 12x = -11 + -12x + 12x Combine like terms: -7x + 12x = 5x -36 + 5x = -11 + -12x + 12x Combine like terms: -12x + 12x = 0 -36 + 5x = -11 + 0 -36 + 5x = -11 Add '36' to each side of the equation. -36 + 36 + 5x = -11 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -11 + 36 5x = -11 + 36 Combine like terms: -11 + 36 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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