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Simplifying 12(7x + 4 + -3x + 18) = 9(4x + -3 + 6) + 2 Reorder the terms: 12(4 + 18 + 7x + -3x) = 9(4x + -3 + 6) + 2 Combine like terms: 4 + 18 = 22 12(22 + 7x + -3x) = 9(4x + -3 + 6) + 2 Combine like terms: 7x + -3x = 4x 12(22 + 4x) = 9(4x + -3 + 6) + 2 (22 * 12 + 4x * 12) = 9(4x + -3 + 6) + 2 (264 + 48x) = 9(4x + -3 + 6) + 2 Reorder the terms: 264 + 48x = 9(-3 + 6 + 4x) + 2 Combine like terms: -3 + 6 = 3 264 + 48x = 9(3 + 4x) + 2 264 + 48x = (3 * 9 + 4x * 9) + 2 264 + 48x = (27 + 36x) + 2 Reorder the terms: 264 + 48x = 27 + 2 + 36x Combine like terms: 27 + 2 = 29 264 + 48x = 29 + 36x Solving 264 + 48x = 29 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 264 + 48x + -36x = 29 + 36x + -36x Combine like terms: 48x + -36x = 12x 264 + 12x = 29 + 36x + -36x Combine like terms: 36x + -36x = 0 264 + 12x = 29 + 0 264 + 12x = 29 Add '-264' to each side of the equation. 264 + -264 + 12x = 29 + -264 Combine like terms: 264 + -264 = 0 0 + 12x = 29 + -264 12x = 29 + -264 Combine like terms: 29 + -264 = -235 12x = -235 Divide each side by '12'. x = -19.58333333 Simplifying x = -19.58333333
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