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Simplifying -1(6 + -7x) = -3(-4x + -3) (6 * -1 + -7x * -1) = -3(-4x + -3) (-6 + 7x) = -3(-4x + -3) Reorder the terms: -6 + 7x = -3(-3 + -4x) -6 + 7x = (-3 * -3 + -4x * -3) -6 + 7x = (9 + 12x) Solving -6 + 7x = 9 + 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. -6 + 7x + -12x = 9 + 12x + -12x Combine like terms: 7x + -12x = -5x -6 + -5x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -5x = 9 + 0 -6 + -5x = 9 Add '6' to each side of the equation. -6 + 6 + -5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 9 + 6 -5x = 9 + 6 Combine like terms: 9 + 6 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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