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Simplifying 7x + -1(2x + -11) = 51 Reorder the terms: 7x + -1(-11 + 2x) = 51 7x + (-11 * -1 + 2x * -1) = 51 7x + (11 + -2x) = 51 Reorder the terms: 11 + 7x + -2x = 51 Combine like terms: 7x + -2x = 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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