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Simplifying 13x + -12 = 30 + 7x Reorder the terms: -12 + 13x = 30 + 7x Solving -12 + 13x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 13x + -7x = 30 + 7x + -7x Combine like terms: 13x + -7x = 6x -12 + 6x = 30 + 7x + -7x Combine like terms: 7x + -7x = 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 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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