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Simplifying 3(4x + 1) + -2x + 6 = 0 Reorder the terms: 3(1 + 4x) + -2x + 6 = 0 (1 * 3 + 4x * 3) + -2x + 6 = 0 (3 + 12x) + -2x + 6 = 0 Reorder the terms: 3 + 6 + 12x + -2x = 0 Combine like terms: 3 + 6 = 9 9 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x 9 + 10x = 0 Solving 9 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9
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