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Simplifying 4(x + 3) + 2 = 2(x + 9) Reorder the terms: 4(3 + x) + 2 = 2(x + 9) (3 * 4 + x * 4) + 2 = 2(x + 9) (12 + 4x) + 2 = 2(x + 9) Reorder the terms: 12 + 2 + 4x = 2(x + 9) Combine like terms: 12 + 2 = 14 14 + 4x = 2(x + 9) Reorder the terms: 14 + 4x = 2(9 + x) 14 + 4x = (9 * 2 + x * 2) 14 + 4x = (18 + 2x) Solving 14 + 4x = 18 + 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. 14 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 18 + 0 14 + 2x = 18 Add '-14' to each side of the equation. 14 + -14 + 2x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 18 + -14 2x = 18 + -14 Combine like terms: 18 + -14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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