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Simplifying -17 + -2x = 8(5x + 9) Reorder the terms: -17 + -2x = 8(9 + 5x) -17 + -2x = (9 * 8 + 5x * 8) -17 + -2x = (72 + 40x) Solving -17 + -2x = 72 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -17 + -2x + -40x = 72 + 40x + -40x Combine like terms: -2x + -40x = -42x -17 + -42x = 72 + 40x + -40x Combine like terms: 40x + -40x = 0 -17 + -42x = 72 + 0 -17 + -42x = 72 Add '17' to each side of the equation. -17 + 17 + -42x = 72 + 17 Combine like terms: -17 + 17 = 0 0 + -42x = 72 + 17 -42x = 72 + 17 Combine like terms: 72 + 17 = 89 -42x = 89 Divide each side by '-42'. x = -2.119047619 Simplifying x = -2.119047619
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