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Simplifying 9x + 32 = 2(7x + 11) Reorder the terms: 32 + 9x = 2(7x + 11) Reorder the terms: 32 + 9x = 2(11 + 7x) 32 + 9x = (11 * 2 + 7x * 2) 32 + 9x = (22 + 14x) Solving 32 + 9x = 22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 32 + 9x + -14x = 22 + 14x + -14x Combine like terms: 9x + -14x = -5x 32 + -5x = 22 + 14x + -14x Combine like terms: 14x + -14x = 0 32 + -5x = 22 + 0 32 + -5x = 22 Add '-32' to each side of the equation. 32 + -32 + -5x = 22 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 22 + -32 -5x = 22 + -32 Combine like terms: 22 + -32 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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