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Simplifying 7(2 + 2x) = 4(9 + -2x) (2 * 7 + 2x * 7) = 4(9 + -2x) (14 + 14x) = 4(9 + -2x) 14 + 14x = (9 * 4 + -2x * 4) 14 + 14x = (36 + -8x) Solving 14 + 14x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + 14x + 8x = 36 + -8x + 8x Combine like terms: 14x + 8x = 22x 14 + 22x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 22x = 36 + 0 14 + 22x = 36 Add '-14' to each side of the equation. 14 + -14 + 22x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 22x = 36 + -14 22x = 36 + -14 Combine like terms: 36 + -14 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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