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Simplifying 2(2x + 1) + 3(x + -2) = 24 Reorder the terms: 2(1 + 2x) + 3(x + -2) = 24 (1 * 2 + 2x * 2) + 3(x + -2) = 24 (2 + 4x) + 3(x + -2) = 24 Reorder the terms: 2 + 4x + 3(-2 + x) = 24 2 + 4x + (-2 * 3 + x * 3) = 24 2 + 4x + (-6 + 3x) = 24 Reorder the terms: 2 + -6 + 4x + 3x = 24 Combine like terms: 2 + -6 = -4 -4 + 4x + 3x = 24 Combine like terms: 4x + 3x = 7x -4 + 7x = 24 Solving -4 + 7x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 24 + 4 7x = 24 + 4 Combine like terms: 24 + 4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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