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Simplifying -2(x + -6) = 7x + -5(x + -2) + 2 Reorder the terms: -2(-6 + x) = 7x + -5(x + -2) + 2 (-6 * -2 + x * -2) = 7x + -5(x + -2) + 2 (12 + -2x) = 7x + -5(x + -2) + 2 Reorder the terms: 12 + -2x = 7x + -5(-2 + x) + 2 12 + -2x = 7x + (-2 * -5 + x * -5) + 2 12 + -2x = 7x + (10 + -5x) + 2 Reorder the terms: 12 + -2x = 10 + 2 + 7x + -5x Combine like terms: 10 + 2 = 12 12 + -2x = 12 + 7x + -5x Combine like terms: 7x + -5x = 2x 12 + -2x = 12 + 2x Add '-12' to each side of the equation. 12 + -12 + -2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 0 + -2x = 12 + -12 + 2x -2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 -2x = 0 + 2x -2x = 2x Solving -2x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x -4x = 2x + -2x Combine like terms: 2x + -2x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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