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Simplifying 6x + 30 = 84 + -12x Reorder the terms: 30 + 6x = 84 + -12x Solving 30 + 6x = 84 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 30 + 6x + 12x = 84 + -12x + 12x Combine like terms: 6x + 12x = 18x 30 + 18x = 84 + -12x + 12x Combine like terms: -12x + 12x = 0 30 + 18x = 84 + 0 30 + 18x = 84 Add '-30' to each side of the equation. 30 + -30 + 18x = 84 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 84 + -30 18x = 84 + -30 Combine like terms: 84 + -30 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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