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Simplifying 2(4x + 2) = 7(x + 6) Reorder the terms: 2(2 + 4x) = 7(x + 6) (2 * 2 + 4x * 2) = 7(x + 6) (4 + 8x) = 7(x + 6) Reorder the terms: 4 + 8x = 7(6 + x) 4 + 8x = (6 * 7 + x * 7) 4 + 8x = (42 + 7x) Solving 4 + 8x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 8x + -7x = 42 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 42 + 0 4 + 1x = 42 Add '-4' to each side of the equation. 4 + -4 + 1x = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 42 + -4 1x = 42 + -4 Combine like terms: 42 + -4 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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