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Simplifying 2(x + -5) + 3(x + 3) = 24 Reorder the terms: 2(-5 + x) + 3(x + 3) = 24 (-5 * 2 + x * 2) + 3(x + 3) = 24 (-10 + 2x) + 3(x + 3) = 24 Reorder the terms: -10 + 2x + 3(3 + x) = 24 -10 + 2x + (3 * 3 + x * 3) = 24 -10 + 2x + (9 + 3x) = 24 Reorder the terms: -10 + 9 + 2x + 3x = 24 Combine like terms: -10 + 9 = -1 -1 + 2x + 3x = 24 Combine like terms: 2x + 3x = 5x -1 + 5x = 24 Solving -1 + 5x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 24 + 1 5x = 24 + 1 Combine like terms: 24 + 1 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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