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Simplifying 7(4x + 4) = 2 + 2x Reorder the terms: 7(4 + 4x) = 2 + 2x (4 * 7 + 4x * 7) = 2 + 2x (28 + 28x) = 2 + 2x Solving 28 + 28x = 2 + 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. 28 + 28x + -2x = 2 + 2x + -2x Combine like terms: 28x + -2x = 26x 28 + 26x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 26x = 2 + 0 28 + 26x = 2 Add '-28' to each side of the equation. 28 + -28 + 26x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 26x = 2 + -28 26x = 2 + -28 Combine like terms: 2 + -28 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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