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Simplifying 3(x + 2) + 2(x + -5) = 10 Reorder the terms: 3(2 + x) + 2(x + -5) = 10 (2 * 3 + x * 3) + 2(x + -5) = 10 (6 + 3x) + 2(x + -5) = 10 Reorder the terms: 6 + 3x + 2(-5 + x) = 10 6 + 3x + (-5 * 2 + x * 2) = 10 6 + 3x + (-10 + 2x) = 10 Reorder the terms: 6 + -10 + 3x + 2x = 10 Combine like terms: 6 + -10 = -4 -4 + 3x + 2x = 10 Combine like terms: 3x + 2x = 5x -4 + 5x = 10 Solving -4 + 5x = 10 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 + 5x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 10 + 4 5x = 10 + 4 Combine like terms: 10 + 4 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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