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Simplifying 2(2x + 8) = 2x + 18 Reorder the terms: 2(8 + 2x) = 2x + 18 (8 * 2 + 2x * 2) = 2x + 18 (16 + 4x) = 2x + 18 Reorder the terms: 16 + 4x = 18 + 2x Solving 16 + 4x = 18 + 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. 16 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 16 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 2x = 18 + 0 16 + 2x = 18 Add '-16' to each side of the equation. 16 + -16 + 2x = 18 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 18 + -16 2x = 18 + -16 Combine like terms: 18 + -16 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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