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Simplifying -6(2x + 3) = -1(7x + -2) Reorder the terms: -6(3 + 2x) = -1(7x + -2) (3 * -6 + 2x * -6) = -1(7x + -2) (-18 + -12x) = -1(7x + -2) Reorder the terms: -18 + -12x = -1(-2 + 7x) -18 + -12x = (-2 * -1 + 7x * -1) -18 + -12x = (2 + -7x) Solving -18 + -12x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -18 + -12x + 7x = 2 + -7x + 7x Combine like terms: -12x + 7x = -5x -18 + -5x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + -5x = 2 + 0 -18 + -5x = 2 Add '18' to each side of the equation. -18 + 18 + -5x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 2 + 18 -5x = 2 + 18 Combine like terms: 2 + 18 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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