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Simplifying 2x + 2(x + 3) + 3(x + 2) = 0 Reorder the terms: 2x + 2(3 + x) + 3(x + 2) = 0 2x + (3 * 2 + x * 2) + 3(x + 2) = 0 2x + (6 + 2x) + 3(x + 2) = 0 Reorder the terms: 2x + 6 + 2x + 3(2 + x) = 0 2x + 6 + 2x + (2 * 3 + x * 3) = 0 2x + 6 + 2x + (6 + 3x) = 0 Reorder the terms: 6 + 6 + 2x + 2x + 3x = 0 Combine like terms: 6 + 6 = 12 12 + 2x + 2x + 3x = 0 Combine like terms: 2x + 2x = 4x 12 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 12 + 7x = 0 Solving 12 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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