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Simplifying 52 = 12 + -5(x + -6) Reorder the terms: 52 = 12 + -5(-6 + x) 52 = 12 + (-6 * -5 + x * -5) 52 = 12 + (30 + -5x) Combine like terms: 12 + 30 = 42 52 = 42 + -5x Solving 52 = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 52 + 5x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 52 + 5x = 42 + 0 52 + 5x = 42 Add '-52' to each side of the equation. 52 + -52 + 5x = 42 + -52 Combine like terms: 52 + -52 = 0 0 + 5x = 42 + -52 5x = 42 + -52 Combine like terms: 42 + -52 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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