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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 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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