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Simplifying 3(2x + 5) + 4(3x + 1) = 0 Reorder the terms: 3(5 + 2x) + 4(3x + 1) = 0 (5 * 3 + 2x * 3) + 4(3x + 1) = 0 (15 + 6x) + 4(3x + 1) = 0 Reorder the terms: 15 + 6x + 4(1 + 3x) = 0 15 + 6x + (1 * 4 + 3x * 4) = 0 15 + 6x + (4 + 12x) = 0 Reorder the terms: 15 + 4 + 6x + 12x = 0 Combine like terms: 15 + 4 = 19 19 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 19 + 18x = 0 Solving 19 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 18x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 18x = 0 + -19 18x = 0 + -19 Combine like terms: 0 + -19 = -19 18x = -19 Divide each side by '18'. x = -1.055555556 Simplifying x = -1.055555556
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