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Simplifying 7(x + 2) = 4(x + 9) + 2x Reorder the terms: 7(2 + x) = 4(x + 9) + 2x (2 * 7 + x * 7) = 4(x + 9) + 2x (14 + 7x) = 4(x + 9) + 2x Reorder the terms: 14 + 7x = 4(9 + x) + 2x 14 + 7x = (9 * 4 + x * 4) + 2x 14 + 7x = (36 + 4x) + 2x Combine like terms: 4x + 2x = 6x 14 + 7x = 36 + 6x Solving 14 + 7x = 36 + 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. 14 + 7x + -6x = 36 + 6x + -6x Combine like terms: 7x + -6x = 1x 14 + 1x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 1x = 36 + 0 14 + 1x = 36 Add '-14' to each side of the equation. 14 + -14 + 1x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 36 + -14 1x = 36 + -14 Combine like terms: 36 + -14 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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