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Simplifying 5x + 9 = 2(2x + 7) Reorder the terms: 9 + 5x = 2(2x + 7) Reorder the terms: 9 + 5x = 2(7 + 2x) 9 + 5x = (7 * 2 + 2x * 2) 9 + 5x = (14 + 4x) Solving 9 + 5x = 14 + 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. 9 + 5x + -4x = 14 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = 14 + 0 9 + 1x = 14 Add '-9' to each side of the equation. 9 + -9 + 1x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 14 + -9 1x = 14 + -9 Combine like terms: 14 + -9 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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