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Simplifying 9(3x + -5) = (5x + 3) + 7 Reorder the terms: 9(-5 + 3x) = (5x + 3) + 7 (-5 * 9 + 3x * 9) = (5x + 3) + 7 (-45 + 27x) = (5x + 3) + 7 Reorder the terms: -45 + 27x = (3 + 5x) + 7 Remove parenthesis around (3 + 5x) -45 + 27x = 3 + 5x + 7 Reorder the terms: -45 + 27x = 3 + 7 + 5x Combine like terms: 3 + 7 = 10 -45 + 27x = 10 + 5x Solving -45 + 27x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 27x + -5x = 10 + 5x + -5x Combine like terms: 27x + -5x = 22x -45 + 22x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 22x = 10 + 0 -45 + 22x = 10 Add '45' to each side of the equation. -45 + 45 + 22x = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 22x = 10 + 45 22x = 10 + 45 Combine like terms: 10 + 45 = 55 22x = 55 Divide each side by '22'. x = 2.5 Simplifying x = 2.5
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