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Simplifying 3(7 + -3x) + -2(5 + -7x) = 51 (7 * 3 + -3x * 3) + -2(5 + -7x) = 51 (21 + -9x) + -2(5 + -7x) = 51 21 + -9x + (5 * -2 + -7x * -2) = 51 21 + -9x + (-10 + 14x) = 51 Reorder the terms: 21 + -10 + -9x + 14x = 51 Combine like terms: 21 + -10 = 11 11 + -9x + 14x = 51 Combine like terms: -9x + 14x = 5x 11 + 5x = 51 Solving 11 + 5x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 51 + -11 5x = 51 + -11 Combine like terms: 51 + -11 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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