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Simplifying 2(3x + -4) + 3(3x + 3) = 0 Reorder the terms: 2(-4 + 3x) + 3(3x + 3) = 0 (-4 * 2 + 3x * 2) + 3(3x + 3) = 0 (-8 + 6x) + 3(3x + 3) = 0 Reorder the terms: -8 + 6x + 3(3 + 3x) = 0 -8 + 6x + (3 * 3 + 3x * 3) = 0 -8 + 6x + (9 + 9x) = 0 Reorder the terms: -8 + 9 + 6x + 9x = 0 Combine like terms: -8 + 9 = 1 1 + 6x + 9x = 0 Combine like terms: 6x + 9x = 15x 1 + 15x = 0 Solving 1 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15x = 0 + -1 15x = 0 + -1 Combine like terms: 0 + -1 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667
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