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Simplifying 12(x + 2) + -5x = 6x + 27 Reorder the terms: 12(2 + x) + -5x = 6x + 27 (2 * 12 + x * 12) + -5x = 6x + 27 (24 + 12x) + -5x = 6x + 27 Combine like terms: 12x + -5x = 7x 24 + 7x = 6x + 27 Reorder the terms: 24 + 7x = 27 + 6x Solving 24 + 7x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 7x + -6x = 27 + 6x + -6x Combine like terms: 7x + -6x = 1x 24 + 1x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 1x = 27 + 0 24 + 1x = 27 Add '-24' to each side of the equation. 24 + -24 + 1x = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 27 + -24 1x = 27 + -24 Combine like terms: 27 + -24 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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