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Simplifying 5(-2x + -4) + -3(4x + 5) = 97 Reorder the terms: 5(-4 + -2x) + -3(4x + 5) = 97 (-4 * 5 + -2x * 5) + -3(4x + 5) = 97 (-20 + -10x) + -3(4x + 5) = 97 Reorder the terms: -20 + -10x + -3(5 + 4x) = 97 -20 + -10x + (5 * -3 + 4x * -3) = 97 -20 + -10x + (-15 + -12x) = 97 Reorder the terms: -20 + -15 + -10x + -12x = 97 Combine like terms: -20 + -15 = -35 -35 + -10x + -12x = 97 Combine like terms: -10x + -12x = -22x -35 + -22x = 97 Solving -35 + -22x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -22x = 97 + 35 Combine like terms: -35 + 35 = 0 0 + -22x = 97 + 35 -22x = 97 + 35 Combine like terms: 97 + 35 = 132 -22x = 132 Divide each side by '-22'. x = -6 Simplifying x = -6
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