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Simplifying -2(-7x + 1) = 5x + 34 Reorder the terms: -2(1 + -7x) = 5x + 34 (1 * -2 + -7x * -2) = 5x + 34 (-2 + 14x) = 5x + 34 Reorder the terms: -2 + 14x = 34 + 5x Solving -2 + 14x = 34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 14x + -5x = 34 + 5x + -5x Combine like terms: 14x + -5x = 9x -2 + 9x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 9x = 34 + 0 -2 + 9x = 34 Add '2' to each side of the equation. -2 + 2 + 9x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 34 + 2 9x = 34 + 2 Combine like terms: 34 + 2 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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