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Simplifying 12x + 7 = 2x + 27 Reorder the terms: 7 + 12x = 2x + 27 Reorder the terms: 7 + 12x = 27 + 2x Solving 7 + 12x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 12x + -2x = 27 + 2x + -2x Combine like terms: 12x + -2x = 10x 7 + 10x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 10x = 27 + 0 7 + 10x = 27 Add '-7' to each side of the equation. 7 + -7 + 10x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 27 + -7 10x = 27 + -7 Combine like terms: 27 + -7 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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