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Simplifying 10x + -9(x + 6) = 31 Reorder the terms: 10x + -9(6 + x) = 31 10x + (6 * -9 + x * -9) = 31 10x + (-54 + -9x) = 31 Reorder the terms: -54 + 10x + -9x = 31 Combine like terms: 10x + -9x = 1x -54 + 1x = 31 Solving -54 + 1x = 31 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 + 1x = 31 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = 31 + 54 1x = 31 + 54 Combine like terms: 31 + 54 = 85 1x = 85 Divide each side by '1'. x = 85 Simplifying x = 85
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