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Simplifying 7x + -5(4x + -5) = 116 Reorder the terms: 7x + -5(-5 + 4x) = 116 7x + (-5 * -5 + 4x * -5) = 116 7x + (25 + -20x) = 116 Reorder the terms: 25 + 7x + -20x = 116 Combine like terms: 7x + -20x = -13x 25 + -13x = 116 Solving 25 + -13x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -13x = 116 + -25 Combine like terms: 25 + -25 = 0 0 + -13x = 116 + -25 -13x = 116 + -25 Combine like terms: 116 + -25 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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