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Simplifying 5x + 16 = 2(2x + 13) Reorder the terms: 16 + 5x = 2(2x + 13) Reorder the terms: 16 + 5x = 2(13 + 2x) 16 + 5x = (13 * 2 + 2x * 2) 16 + 5x = (26 + 4x) Solving 16 + 5x = 26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 5x + -4x = 26 + 4x + -4x Combine like terms: 5x + -4x = 1x 16 + 1x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 1x = 26 + 0 16 + 1x = 26 Add '-16' to each side of the equation. 16 + -16 + 1x = 26 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 26 + -16 1x = 26 + -16 Combine like terms: 26 + -16 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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