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Simplifying -2 + 7x = -6(2 + -2x) -2 + 7x = (2 * -6 + -2x * -6) -2 + 7x = (-12 + 12x) Solving -2 + 7x = -12 + 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. -2 + 7x + -12x = -12 + 12x + -12x Combine like terms: 7x + -12x = -5x -2 + -5x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -5x = -12 + 0 -2 + -5x = -12 Add '2' to each side of the equation. -2 + 2 + -5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -12 + 2 -5x = -12 + 2 Combine like terms: -12 + 2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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