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Simplifying 7(2x + 1) = 9x + 27 Reorder the terms: 7(1 + 2x) = 9x + 27 (1 * 7 + 2x * 7) = 9x + 27 (7 + 14x) = 9x + 27 Reorder the terms: 7 + 14x = 27 + 9x Solving 7 + 14x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 14x + -9x = 27 + 9x + -9x Combine like terms: 14x + -9x = 5x 7 + 5x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 5x = 27 + 0 7 + 5x = 27 Add '-7' to each side of the equation. 7 + -7 + 5x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 27 + -7 5x = 27 + -7 Combine like terms: 27 + -7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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