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Simplifying 5(x + 5) + 2(-10 + -14x) = -110 Reorder the terms: 5(5 + x) + 2(-10 + -14x) = -110 (5 * 5 + x * 5) + 2(-10 + -14x) = -110 (25 + 5x) + 2(-10 + -14x) = -110 25 + 5x + (-10 * 2 + -14x * 2) = -110 25 + 5x + (-20 + -28x) = -110 Reorder the terms: 25 + -20 + 5x + -28x = -110 Combine like terms: 25 + -20 = 5 5 + 5x + -28x = -110 Combine like terms: 5x + -28x = -23x 5 + -23x = -110 Solving 5 + -23x = -110 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -23x = -110 + -5 Combine like terms: 5 + -5 = 0 0 + -23x = -110 + -5 -23x = -110 + -5 Combine like terms: -110 + -5 = -115 -23x = -115 Divide each side by '-23'. x = 5 Simplifying x = 5
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