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Simplifying 10x + -1(9x + -5) = 12 Reorder the terms: 10x + -1(-5 + 9x) = 12 10x + (-5 * -1 + 9x * -1) = 12 10x + (5 + -9x) = 12 Reorder the terms: 5 + 10x + -9x = 12 Combine like terms: 10x + -9x = 1x 5 + 1x = 12 Solving 5 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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