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Simplifying 12 + x = -5(x + -6) Reorder the terms: 12 + x = -5(-6 + x) 12 + x = (-6 * -5 + x * -5) 12 + x = (30 + -5x) Solving 12 + x = 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. 12 + x + 5x = 30 + -5x + 5x Combine like terms: x + 5x = 6x 12 + 6x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 6x = 30 + 0 12 + 6x = 30 Add '-12' to each side of the equation. 12 + -12 + 6x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 30 + -12 6x = 30 + -12 Combine like terms: 30 + -12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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