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Simplifying -6(7 + -6x) = 34 + -2x (7 * -6 + -6x * -6) = 34 + -2x (-42 + 36x) = 34 + -2x Solving -42 + 36x = 34 + -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. -42 + 36x + 2x = 34 + -2x + 2x Combine like terms: 36x + 2x = 38x -42 + 38x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 38x = 34 + 0 -42 + 38x = 34 Add '42' to each side of the equation. -42 + 42 + 38x = 34 + 42 Combine like terms: -42 + 42 = 0 0 + 38x = 34 + 42 38x = 34 + 42 Combine like terms: 34 + 42 = 76 38x = 76 Divide each side by '38'. x = 2 Simplifying x = 2
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