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Simplifying 2(2x + 3) + -3(2x + 2) + -3(3x + -2) = 0 Reorder the terms: 2(3 + 2x) + -3(2x + 2) + -3(3x + -2) = 0 (3 * 2 + 2x * 2) + -3(2x + 2) + -3(3x + -2) = 0 (6 + 4x) + -3(2x + 2) + -3(3x + -2) = 0 Reorder the terms: 6 + 4x + -3(2 + 2x) + -3(3x + -2) = 0 6 + 4x + (2 * -3 + 2x * -3) + -3(3x + -2) = 0 6 + 4x + (-6 + -6x) + -3(3x + -2) = 0 Reorder the terms: 6 + 4x + -6 + -6x + -3(-2 + 3x) = 0 6 + 4x + -6 + -6x + (-2 * -3 + 3x * -3) = 0 6 + 4x + -6 + -6x + (6 + -9x) = 0 Reorder the terms: 6 + -6 + 6 + 4x + -6x + -9x = 0 Combine like terms: 6 + -6 = 0 0 + 6 + 4x + -6x + -9x = 0 6 + 4x + -6x + -9x = 0 Combine like terms: 4x + -6x = -2x 6 + -2x + -9x = 0 Combine like terms: -2x + -9x = -11x 6 + -11x = 0 Solving 6 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 0 + -6 -11x = 0 + -6 Combine like terms: 0 + -6 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455
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