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Simplifying -7(x + 5) + 110 = 17 + 23 Reorder the terms: -7(5 + x) + 110 = 17 + 23 (5 * -7 + x * -7) + 110 = 17 + 23 (-35 + -7x) + 110 = 17 + 23 Reorder the terms: -35 + 110 + -7x = 17 + 23 Combine like terms: -35 + 110 = 75 75 + -7x = 17 + 23 Combine like terms: 17 + 23 = 40 75 + -7x = 40 Solving 75 + -7x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -7x = 40 + -75 Combine like terms: 75 + -75 = 0 0 + -7x = 40 + -75 -7x = 40 + -75 Combine like terms: 40 + -75 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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