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Simplifying 5(2x + -1) + -3x = 5x + 9 Reorder the terms: 5(-1 + 2x) + -3x = 5x + 9 (-1 * 5 + 2x * 5) + -3x = 5x + 9 (-5 + 10x) + -3x = 5x + 9 Combine like terms: 10x + -3x = 7x -5 + 7x = 5x + 9 Reorder the terms: -5 + 7x = 9 + 5x Solving -5 + 7x = 9 + 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. -5 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 9 + 0 -5 + 2x = 9 Add '5' to each side of the equation. -5 + 5 + 2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9 + 5 2x = 9 + 5 Combine like terms: 9 + 5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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