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Simplifying 3(x + -5) + 2(x + 2) = 0 Reorder the terms: 3(-5 + x) + 2(x + 2) = 0 (-5 * 3 + x * 3) + 2(x + 2) = 0 (-15 + 3x) + 2(x + 2) = 0 Reorder the terms: -15 + 3x + 2(2 + x) = 0 -15 + 3x + (2 * 2 + x * 2) = 0 -15 + 3x + (4 + 2x) = 0 Reorder the terms: -15 + 4 + 3x + 2x = 0 Combine like terms: -15 + 4 = -11 -11 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x -11 + 5x = 0 Solving -11 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 0 + 11 5x = 0 + 11 Combine like terms: 0 + 11 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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