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Simplifying 5(2x + -3) = (3x + 2) Reorder the terms: 5(-3 + 2x) = (3x + 2) (-3 * 5 + 2x * 5) = (3x + 2) (-15 + 10x) = (3x + 2) Reorder the terms: -15 + 10x = (2 + 3x) Remove parenthesis around (2 + 3x) -15 + 10x = 2 + 3x Solving -15 + 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. -15 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x -15 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 7x = 2 + 0 -15 + 7x = 2 Add '15' to each side of the equation. -15 + 15 + 7x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 2 + 15 7x = 2 + 15 Combine like terms: 2 + 15 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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