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Simplifying 9(2x + -5) = 3x + 2 Reorder the terms: 9(-5 + 2x) = 3x + 2 (-5 * 9 + 2x * 9) = 3x + 2 (-45 + 18x) = 3x + 2 Reorder the terms: -45 + 18x = 2 + 3x Solving -45 + 18x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 18x + -3x = 2 + 3x + -3x Combine like terms: 18x + -3x = 15x -45 + 15x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 15x = 2 + 0 -45 + 15x = 2 Add '45' to each side of the equation. -45 + 45 + 15x = 2 + 45 Combine like terms: -45 + 45 = 0 0 + 15x = 2 + 45 15x = 2 + 45 Combine like terms: 2 + 45 = 47 15x = 47 Divide each side by '15'. x = 3.133333333 Simplifying x = 3.133333333
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