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Simplifying 2x(3 + -1) + 3(2x + -3) = 15 Combine like terms: 3 + -1 = 2 2x(2) + 3(2x + -3) = 15 Reorder the terms for easier multiplication: 2 * 2x + 3(2x + -3) = 15 Multiply 2 * 2 4x + 3(2x + -3) = 15 Reorder the terms: 4x + 3(-3 + 2x) = 15 4x + (-3 * 3 + 2x * 3) = 15 4x + (-9 + 6x) = 15 Reorder the terms: -9 + 4x + 6x = 15 Combine like terms: 4x + 6x = 10x -9 + 10x = 15 Solving -9 + 10x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 15 + 9 10x = 15 + 9 Combine like terms: 15 + 9 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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