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Simplifying 9(5x + -1) = (5x + 2) Reorder the terms: 9(-1 + 5x) = (5x + 2) (-1 * 9 + 5x * 9) = (5x + 2) (-9 + 45x) = (5x + 2) Reorder the terms: -9 + 45x = (2 + 5x) Remove parenthesis around (2 + 5x) -9 + 45x = 2 + 5x Solving -9 + 45x = 2 + 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. -9 + 45x + -5x = 2 + 5x + -5x Combine like terms: 45x + -5x = 40x -9 + 40x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 40x = 2 + 0 -9 + 40x = 2 Add '9' to each side of the equation. -9 + 9 + 40x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 40x = 2 + 9 40x = 2 + 9 Combine like terms: 2 + 9 = 11 40x = 11 Divide each side by '40'. x = 0.275 Simplifying x = 0.275
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