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Simplifying 9x + -6(9 + -1x) = 51 9x + (9 * -6 + -1x * -6) = 51 9x + (-54 + 6x) = 51 Reorder the terms: -54 + 9x + 6x = 51 Combine like terms: 9x + 6x = 15x -54 + 15x = 51 Solving -54 + 15x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 15x = 51 + 54 Combine like terms: -54 + 54 = 0 0 + 15x = 51 + 54 15x = 51 + 54 Combine like terms: 51 + 54 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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