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Simplifying -5(7x + 3) = 14 + -6x Reorder the terms: -5(3 + 7x) = 14 + -6x (3 * -5 + 7x * -5) = 14 + -6x (-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 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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