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Simplifying 5(-2 + -4) + -3(4x + 5) = 97 Combine like terms: -2 + -4 = -6 5(-6) + -3(4x + 5) = 97 Multiply 5 * -6 -30 + -3(4x + 5) = 97 Reorder the terms: -30 + -3(5 + 4x) = 97 -30 + (5 * -3 + 4x * -3) = 97 -30 + (-15 + -12x) = 97 Combine like terms: -30 + -15 = -45 -45 + -12x = 97 Solving -45 + -12x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -12x = 97 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = 97 + 45 -12x = 97 + 45 Combine like terms: 97 + 45 = 142 -12x = 142 Divide each side by '-12'. x = -11.83333333 Simplifying x = -11.83333333
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