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Simplifying 4(2x + 3) + 2(3x + -1) = 0 Reorder the terms: 4(3 + 2x) + 2(3x + -1) = 0 (3 * 4 + 2x * 4) + 2(3x + -1) = 0 (12 + 8x) + 2(3x + -1) = 0 Reorder the terms: 12 + 8x + 2(-1 + 3x) = 0 12 + 8x + (-1 * 2 + 3x * 2) = 0 12 + 8x + (-2 + 6x) = 0 Reorder the terms: 12 + -2 + 8x + 6x = 0 Combine like terms: 12 + -2 = 10 10 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 10 + 14x = 0 Solving 10 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 0 + -10 14x = 0 + -10 Combine like terms: 0 + -10 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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