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Simplifying 5(3x + -7) + -14x = 8 Reorder the terms: 5(-7 + 3x) + -14x = 8 (-7 * 5 + 3x * 5) + -14x = 8 (-35 + 15x) + -14x = 8 Combine like terms: 15x + -14x = 1x -35 + 1x = 8 Solving -35 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 1x = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 8 + 35 1x = 8 + 35 Combine like terms: 8 + 35 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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