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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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