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Simplifying 12x + -1(6x + -5) = 53 Reorder the terms: 12x + -1(-5 + 6x) = 53 12x + (-5 * -1 + 6x * -1) = 53 12x + (5 + -6x) = 53 Reorder the terms: 5 + 12x + -6x = 53 Combine like terms: 12x + -6x = 6x 5 + 6x = 53 Solving 5 + 6x = 53 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 = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 53 + -5 6x = 53 + -5 Combine like terms: 53 + -5 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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