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Simplifying 5x + -7(4x + 8) = -171 Reorder the terms: 5x + -7(8 + 4x) = -171 5x + (8 * -7 + 4x * -7) = -171 5x + (-56 + -28x) = -171 Reorder the terms: -56 + 5x + -28x = -171 Combine like terms: 5x + -28x = -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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