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Simplifying 3x + 8(5x + -7) = -314 Reorder the terms: 3x + 8(-7 + 5x) = -314 3x + (-7 * 8 + 5x * 8) = -314 3x + (-56 + 40x) = -314 Reorder the terms: -56 + 3x + 40x = -314 Combine like terms: 3x + 40x = 43x -56 + 43x = -314 Solving -56 + 43x = -314 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 + 43x = -314 + 56 Combine like terms: -56 + 56 = 0 0 + 43x = -314 + 56 43x = -314 + 56 Combine like terms: -314 + 56 = -258 43x = -258 Divide each side by '43'. x = -6 Simplifying x = -6
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