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Simplifying 6x + 7(x + -2) = 51 Reorder the terms: 6x + 7(-2 + x) = 51 6x + (-2 * 7 + x * 7) = 51 6x + (-14 + 7x) = 51 Reorder the terms: -14 + 6x + 7x = 51 Combine like terms: 6x + 7x = 13x -14 + 13x = 51 Solving -14 + 13x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13x = 51 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 51 + 14 13x = 51 + 14 Combine like terms: 51 + 14 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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