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Simplifying 2(7x + 1) = 4(2x + 2) Reorder the terms: 2(1 + 7x) = 4(2x + 2) (1 * 2 + 7x * 2) = 4(2x + 2) (2 + 14x) = 4(2x + 2) Reorder the terms: 2 + 14x = 4(2 + 2x) 2 + 14x = (2 * 4 + 2x * 4) 2 + 14x = (8 + 8x) Solving 2 + 14x = 8 + 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. 2 + 14x + -8x = 8 + 8x + -8x Combine like terms: 14x + -8x = 6x 2 + 6x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 6x = 8 + 0 2 + 6x = 8 Add '-2' to each side of the equation. 2 + -2 + 6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 8 + -2 6x = 8 + -2 Combine like terms: 8 + -2 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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