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Simplifying -1(x + 2) = 34 + -7x Reorder the terms: -1(2 + x) = 34 + -7x (2 * -1 + x * -1) = 34 + -7x (-2 + -1x) = 34 + -7x Solving -2 + -1x = 34 + -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. -2 + -1x + 7x = 34 + -7x + 7x Combine like terms: -1x + 7x = 6x -2 + 6x = 34 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 6x = 34 + 0 -2 + 6x = 34 Add '2' to each side of the equation. -2 + 2 + 6x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 34 + 2 6x = 34 + 2 Combine like terms: 34 + 2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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