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Simplifying 5(4x + 3) + 6x + -12 = 0 Reorder the terms: 5(3 + 4x) + 6x + -12 = 0 (3 * 5 + 4x * 5) + 6x + -12 = 0 (15 + 20x) + 6x + -12 = 0 Reorder the terms: 15 + -12 + 20x + 6x = 0 Combine like terms: 15 + -12 = 3 3 + 20x + 6x = 0 Combine like terms: 20x + 6x = 26x 3 + 26x = 0 Solving 3 + 26x = 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 + 26x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 26x = 0 + -3 26x = 0 + -3 Combine like terms: 0 + -3 = -3 26x = -3 Divide each side by '26'. x = -0.1153846154 Simplifying x = -0.1153846154
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