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Simplifying -3x + 5(-4x + 9) = -116 Reorder the terms: -3x + 5(9 + -4x) = -116 -3x + (9 * 5 + -4x * 5) = -116 -3x + (45 + -20x) = -116 Reorder the terms: 45 + -3x + -20x = -116 Combine like terms: -3x + -20x = -23x 45 + -23x = -116 Solving 45 + -23x = -116 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 + -23x = -116 + -45 Combine like terms: 45 + -45 = 0 0 + -23x = -116 + -45 -23x = -116 + -45 Combine like terms: -116 + -45 = -161 -23x = -161 Divide each side by '-23'. x = 7 Simplifying x = 7
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