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Simplifying 2(5x + 6) + -3(x + 7) = 2 Reorder the terms: 2(6 + 5x) + -3(x + 7) = 2 (6 * 2 + 5x * 2) + -3(x + 7) = 2 (12 + 10x) + -3(x + 7) = 2 Reorder the terms: 12 + 10x + -3(7 + x) = 2 12 + 10x + (7 * -3 + x * -3) = 2 12 + 10x + (-21 + -3x) = 2 Reorder the terms: 12 + -21 + 10x + -3x = 2 Combine like terms: 12 + -21 = -9 -9 + 10x + -3x = 2 Combine like terms: 10x + -3x = 7x -9 + 7x = 2 Solving -9 + 7x = 2 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 + 7x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 2 + 9 7x = 2 + 9 Combine like terms: 2 + 9 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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