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Simplifying 2(6x + 7) + -5(x + 3) = 0 Reorder the terms: 2(7 + 6x) + -5(x + 3) = 0 (7 * 2 + 6x * 2) + -5(x + 3) = 0 (14 + 12x) + -5(x + 3) = 0 Reorder the terms: 14 + 12x + -5(3 + x) = 0 14 + 12x + (3 * -5 + x * -5) = 0 14 + 12x + (-15 + -5x) = 0 Reorder the terms: 14 + -15 + 12x + -5x = 0 Combine like terms: 14 + -15 = -1 -1 + 12x + -5x = 0 Combine like terms: 12x + -5x = 7x -1 + 7x = 0 Solving -1 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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