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Simplifying 10x + -1(4x + -5) = 77 Reorder the terms: 10x + -1(-5 + 4x) = 77 10x + (-5 * -1 + 4x * -1) = 77 10x + (5 + -4x) = 77 Reorder the terms: 5 + 10x + -4x = 77 Combine like terms: 10x + -4x = 6x 5 + 6x = 77 Solving 5 + 6x = 77 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 + 6x = 77 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 77 + -5 6x = 77 + -5 Combine like terms: 77 + -5 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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