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Simplifying -12 + 57 = -5(x + 6) Combine like terms: -12 + 57 = 45 45 = -5(x + 6) Reorder the terms: 45 = -5(6 + x) 45 = (6 * -5 + x * -5) 45 = (-30 + -5x) Solving 45 = -30 + -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. 45 + 5x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + 5x = -30 + 0 45 + 5x = -30 Add '-45' to each side of the equation. 45 + -45 + 5x = -30 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = -30 + -45 5x = -30 + -45 Combine like terms: -30 + -45 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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