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Simplifying 5(7x + -3) = 6x + -14 Reorder the terms: 5(-3 + 7x) = 6x + -14 (-3 * 5 + 7x * 5) = 6x + -14 (-15 + 35x) = 6x + -14 Reorder the terms: -15 + 35x = -14 + 6x Solving -15 + 35x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 35x + -6x = -14 + 6x + -6x Combine like terms: 35x + -6x = 29x -15 + 29x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 29x = -14 + 0 -15 + 29x = -14 Add '15' to each side of the equation. -15 + 15 + 29x = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 29x = -14 + 15 29x = -14 + 15 Combine like terms: -14 + 15 = 1 29x = 1 Divide each side by '29'. x = 0.03448275862 Simplifying x = 0.03448275862
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