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Simplifying -7(x + 5) = -6(2x + -5) Reorder the terms: -7(5 + x) = -6(2x + -5) (5 * -7 + x * -7) = -6(2x + -5) (-35 + -7x) = -6(2x + -5) Reorder the terms: -35 + -7x = -6(-5 + 2x) -35 + -7x = (-5 * -6 + 2x * -6) -35 + -7x = (30 + -12x) Solving -35 + -7x = 30 + -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. -35 + -7x + 12x = 30 + -12x + 12x Combine like terms: -7x + 12x = 5x -35 + 5x = 30 + -12x + 12x Combine like terms: -12x + 12x = 0 -35 + 5x = 30 + 0 -35 + 5x = 30 Add '35' to each side of the equation. -35 + 35 + 5x = 30 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 30 + 35 5x = 30 + 35 Combine like terms: 30 + 35 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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