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Simplifying 3x + -4(-5x + 14) = -171 Reorder the terms: 3x + -4(14 + -5x) = -171 3x + (14 * -4 + -5x * -4) = -171 3x + (-56 + 20x) = -171 Reorder the terms: -56 + 3x + 20x = -171 Combine like terms: 3x + 20x = 23x -56 + 23x = -171 Solving -56 + 23x = -171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 23x = -171 + 56 Combine like terms: -56 + 56 = 0 0 + 23x = -171 + 56 23x = -171 + 56 Combine like terms: -171 + 56 = -115 23x = -115 Divide each side by '23'. x = -5 Simplifying x = -5
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