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Simplifying 2(x + 7) = 4(x + 9) Reorder the terms: 2(7 + x) = 4(x + 9) (7 * 2 + x * 2) = 4(x + 9) (14 + 2x) = 4(x + 9) Reorder the terms: 14 + 2x = 4(9 + x) 14 + 2x = (9 * 4 + x * 4) 14 + 2x = (36 + 4x) Solving 14 + 2x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 2x + -4x = 36 + 4x + -4x Combine like terms: 2x + -4x = -2x 14 + -2x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -2x = 36 + 0 14 + -2x = 36 Add '-14' to each side of the equation. 14 + -14 + -2x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 36 + -14 -2x = 36 + -14 Combine like terms: 36 + -14 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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