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Simplifying 4x + 4 + 9x + 18 = 12(x + 2) Reorder the terms: 4 + 18 + 4x + 9x = 12(x + 2) Combine like terms: 4 + 18 = 22 22 + 4x + 9x = 12(x + 2) Combine like terms: 4x + 9x = 13x 22 + 13x = 12(x + 2) Reorder the terms: 22 + 13x = 12(2 + x) 22 + 13x = (2 * 12 + x * 12) 22 + 13x = (24 + 12x) Solving 22 + 13x = 24 + 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. 22 + 13x + -12x = 24 + 12x + -12x Combine like terms: 13x + -12x = 1x 22 + 1x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + 1x = 24 + 0 22 + 1x = 24 Add '-22' to each side of the equation. 22 + -22 + 1x = 24 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 24 + -22 1x = 24 + -22 Combine like terms: 24 + -22 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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