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Simplifying -20 + -7(x + -5) = 17(x + -5) Reorder the terms: -20 + -7(-5 + x) = 17(x + -5) -20 + (-5 * -7 + x * -7) = 17(x + -5) -20 + (35 + -7x) = 17(x + -5) Combine like terms: -20 + 35 = 15 15 + -7x = 17(x + -5) Reorder the terms: 15 + -7x = 17(-5 + x) 15 + -7x = (-5 * 17 + x * 17) 15 + -7x = (-85 + 17x) Solving 15 + -7x = -85 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 15 + -7x + -17x = -85 + 17x + -17x Combine like terms: -7x + -17x = -24x 15 + -24x = -85 + 17x + -17x Combine like terms: 17x + -17x = 0 15 + -24x = -85 + 0 15 + -24x = -85 Add '-15' to each side of the equation. 15 + -15 + -24x = -85 + -15 Combine like terms: 15 + -15 = 0 0 + -24x = -85 + -15 -24x = -85 + -15 Combine like terms: -85 + -15 = -100 -24x = -100 Divide each side by '-24'. x = 4.166666667 Simplifying x = 4.166666667
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