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Simplifying 4(2x + 3) + 3(2x + -3) = 0 Reorder the terms: 4(3 + 2x) + 3(2x + -3) = 0 (3 * 4 + 2x * 4) + 3(2x + -3) = 0 (12 + 8x) + 3(2x + -3) = 0 Reorder the terms: 12 + 8x + 3(-3 + 2x) = 0 12 + 8x + (-3 * 3 + 2x * 3) = 0 12 + 8x + (-9 + 6x) = 0 Reorder the terms: 12 + -9 + 8x + 6x = 0 Combine like terms: 12 + -9 = 3 3 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 3 + 14x = 0 Solving 3 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 0 + -3 14x = 0 + -3 Combine like terms: 0 + -3 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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