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Simplifying 7x + 2(x + -5) + 3(x + 2) = 0 Reorder the terms: 7x + 2(-5 + x) + 3(x + 2) = 0 7x + (-5 * 2 + x * 2) + 3(x + 2) = 0 7x + (-10 + 2x) + 3(x + 2) = 0 Reorder the terms: 7x + -10 + 2x + 3(2 + x) = 0 7x + -10 + 2x + (2 * 3 + x * 3) = 0 7x + -10 + 2x + (6 + 3x) = 0 Reorder the terms: -10 + 6 + 7x + 2x + 3x = 0 Combine like terms: -10 + 6 = -4 -4 + 7x + 2x + 3x = 0 Combine like terms: 7x + 2x = 9x -4 + 9x + 3x = 0 Combine like terms: 9x + 3x = 12x -4 + 12x = 0 Solving -4 + 12x = 0 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 + 12x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 0 + 4 12x = 0 + 4 Combine like terms: 0 + 4 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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