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Simplifying 5(2x + -3) = 3(2x + 3) Reorder the terms: 5(-3 + 2x) = 3(2x + 3) (-3 * 5 + 2x * 5) = 3(2x + 3) (-15 + 10x) = 3(2x + 3) Reorder the terms: -15 + 10x = 3(3 + 2x) -15 + 10x = (3 * 3 + 2x * 3) -15 + 10x = (9 + 6x) Solving -15 + 10x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 10x + -6x = 9 + 6x + -6x Combine like terms: 10x + -6x = 4x -15 + 4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 4x = 9 + 0 -15 + 4x = 9 Add '15' to each side of the equation. -15 + 15 + 4x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 9 + 15 4x = 9 + 15 Combine like terms: 9 + 15 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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