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Simplifying 2x + 3(x + 9) + -2(x + 3) = 0 Reorder the terms: 2x + 3(9 + x) + -2(x + 3) = 0 2x + (9 * 3 + x * 3) + -2(x + 3) = 0 2x + (27 + 3x) + -2(x + 3) = 0 Reorder the terms: 2x + 27 + 3x + -2(3 + x) = 0 2x + 27 + 3x + (3 * -2 + x * -2) = 0 2x + 27 + 3x + (-6 + -2x) = 0 Reorder the terms: 27 + -6 + 2x + 3x + -2x = 0 Combine like terms: 27 + -6 = 21 21 + 2x + 3x + -2x = 0 Combine like terms: 2x + 3x = 5x 21 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 21 + 3x = 0 Solving 21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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