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Simplifying -7x + -5(-4x + -24) = -47 Reorder the terms: -7x + -5(-24 + -4x) = -47 -7x + (-24 * -5 + -4x * -5) = -47 -7x + (120 + 20x) = -47 Reorder the terms: 120 + -7x + 20x = -47 Combine like terms: -7x + 20x = 13x 120 + 13x = -47 Solving 120 + 13x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 13x = -47 + -120 Combine like terms: 120 + -120 = 0 0 + 13x = -47 + -120 13x = -47 + -120 Combine like terms: -47 + -120 = -167 13x = -167 Divide each side by '13'. x = -12.84615385 Simplifying x = -12.84615385
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