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Simplifying 2(3x + -2) + -3(x + 3) = 0 Reorder the terms: 2(-2 + 3x) + -3(x + 3) = 0 (-2 * 2 + 3x * 2) + -3(x + 3) = 0 (-4 + 6x) + -3(x + 3) = 0 Reorder the terms: -4 + 6x + -3(3 + x) = 0 -4 + 6x + (3 * -3 + x * -3) = 0 -4 + 6x + (-9 + -3x) = 0 Reorder the terms: -4 + -9 + 6x + -3x = 0 Combine like terms: -4 + -9 = -13 -13 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x -13 + 3x = 0 Solving -13 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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