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Simplifying 9(3x + -5) = 7(x + -5) + -17 Reorder the terms: 9(-5 + 3x) = 7(x + -5) + -17 (-5 * 9 + 3x * 9) = 7(x + -5) + -17 (-45 + 27x) = 7(x + -5) + -17 Reorder the terms: -45 + 27x = 7(-5 + x) + -17 -45 + 27x = (-5 * 7 + x * 7) + -17 -45 + 27x = (-35 + 7x) + -17 Reorder the terms: -45 + 27x = -35 + -17 + 7x Combine like terms: -35 + -17 = -52 -45 + 27x = -52 + 7x Solving -45 + 27x = -52 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -45 + 27x + -7x = -52 + 7x + -7x Combine like terms: 27x + -7x = 20x -45 + 20x = -52 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 20x = -52 + 0 -45 + 20x = -52 Add '45' to each side of the equation. -45 + 45 + 20x = -52 + 45 Combine like terms: -45 + 45 = 0 0 + 20x = -52 + 45 20x = -52 + 45 Combine like terms: -52 + 45 = -7 20x = -7 Divide each side by '20'. x = -0.35 Simplifying x = -0.35
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