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Simplifying 7x + 12 = 3(2x + 9) Reorder the terms: 12 + 7x = 3(2x + 9) Reorder the terms: 12 + 7x = 3(9 + 2x) 12 + 7x = (9 * 3 + 2x * 3) 12 + 7x = (27 + 6x) Solving 12 + 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. 12 + 7x + -6x = 27 + 6x + -6x Combine like terms: 7x + -6x = 1x 12 + 1x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 1x = 27 + 0 12 + 1x = 27 Add '-12' to each side of the equation. 12 + -12 + 1x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 27 + -12 1x = 27 + -12 Combine like terms: 27 + -12 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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