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Simplifying 2(4x + 2) = 7x + 5 Reorder the terms: 2(2 + 4x) = 7x + 5 (2 * 2 + 4x * 2) = 7x + 5 (4 + 8x) = 7x + 5 Reorder the terms: 4 + 8x = 5 + 7x Solving 4 + 8x = 5 + 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 = 5 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 5 + 0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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