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Simplifying 7(5x + -2) + -34x = 6 Reorder the terms: 7(-2 + 5x) + -34x = 6 (-2 * 7 + 5x * 7) + -34x = 6 (-14 + 35x) + -34x = 6 Combine like terms: 35x + -34x = 1x -14 + 1x = 6 Solving -14 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 6 + 14 1x = 6 + 14 Combine like terms: 6 + 14 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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