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Simplifying 5(9x + -5) + 8 = 7(5x + 3) Reorder the terms: 5(-5 + 9x) + 8 = 7(5x + 3) (-5 * 5 + 9x * 5) + 8 = 7(5x + 3) (-25 + 45x) + 8 = 7(5x + 3) Reorder the terms: -25 + 8 + 45x = 7(5x + 3) Combine like terms: -25 + 8 = -17 -17 + 45x = 7(5x + 3) Reorder the terms: -17 + 45x = 7(3 + 5x) -17 + 45x = (3 * 7 + 5x * 7) -17 + 45x = (21 + 35x) Solving -17 + 45x = 21 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -17 + 45x + -35x = 21 + 35x + -35x Combine like terms: 45x + -35x = 10x -17 + 10x = 21 + 35x + -35x Combine like terms: 35x + -35x = 0 -17 + 10x = 21 + 0 -17 + 10x = 21 Add '17' to each side of the equation. -17 + 17 + 10x = 21 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 21 + 17 10x = 21 + 17 Combine like terms: 21 + 17 = 38 10x = 38 Divide each side by '10'. x = 3.8 Simplifying x = 3.8
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