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Simplifying 3(2x + 1) + 4(x + 3) = 0 Reorder the terms: 3(1 + 2x) + 4(x + 3) = 0 (1 * 3 + 2x * 3) + 4(x + 3) = 0 (3 + 6x) + 4(x + 3) = 0 Reorder the terms: 3 + 6x + 4(3 + x) = 0 3 + 6x + (3 * 4 + x * 4) = 0 3 + 6x + (12 + 4x) = 0 Reorder the terms: 3 + 12 + 6x + 4x = 0 Combine like terms: 3 + 12 = 15 15 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x 15 + 10x = 0 Solving 15 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 0 + -15 10x = 0 + -15 Combine like terms: 0 + -15 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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