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Simplifying -3x + 12x + 6 = 7x + 30 Reorder the terms: 6 + -3x + 12x = 7x + 30 Combine like terms: -3x + 12x = 9x 6 + 9x = 7x + 30 Reorder the terms: 6 + 9x = 30 + 7x Solving 6 + 9x = 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. 6 + 9x + -7x = 30 + 7x + -7x Combine like terms: 9x + -7x = 2x 6 + 2x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 2x = 30 + 0 6 + 2x = 30 Add '-6' to each side of the equation. 6 + -6 + 2x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 30 + -6 2x = 30 + -6 Combine like terms: 30 + -6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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