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