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Simplifying 7x + 14 = 9(x + 4) Reorder the terms: 14 + 7x = 9(x + 4) Reorder the terms: 14 + 7x = 9(4 + x) 14 + 7x = (4 * 9 + x * 9) 14 + 7x = (36 + 9x) Solving 14 + 7x = 36 + 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. 14 + 7x + -9x = 36 + 9x + -9x Combine like terms: 7x + -9x = -2x 14 + -2x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -2x = 36 + 0 14 + -2x = 36 Add '-14' to each side of the equation. 14 + -14 + -2x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 36 + -14 -2x = 36 + -14 Combine like terms: 36 + -14 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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