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Simplifying 5(-2y + -4) + -3(4x + 5) = 97 Reorder the terms: 5(-4 + -2y) + -3(4x + 5) = 97 (-4 * 5 + -2y * 5) + -3(4x + 5) = 97 (-20 + -10y) + -3(4x + 5) = 97 Reorder the terms: -20 + -10y + -3(5 + 4x) = 97 -20 + -10y + (5 * -3 + 4x * -3) = 97 -20 + -10y + (-15 + -12x) = 97 Reorder the terms: -20 + -15 + -12x + -10y = 97 Combine like terms: -20 + -15 = -35 -35 + -12x + -10y = 97 Solving -35 + -12x + -10y = 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 + -12x + 35 + -10y = 97 + 35 Reorder the terms: -35 + 35 + -12x + -10y = 97 + 35 Combine like terms: -35 + 35 = 0 0 + -12x + -10y = 97 + 35 -12x + -10y = 97 + 35 Combine like terms: 97 + 35 = 132 -12x + -10y = 132 Add '10y' to each side of the equation. -12x + -10y + 10y = 132 + 10y Combine like terms: -10y + 10y = 0 -12x + 0 = 132 + 10y -12x = 132 + 10y Divide each side by '-12'. x = -11 + -0.8333333333y Simplifying x = -11 + -0.8333333333y
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