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Simplifying 7x + 32 = 9(x + 4) Reorder the terms: 32 + 7x = 9(x + 4) Reorder the terms: 32 + 7x = 9(4 + x) 32 + 7x = (4 * 9 + x * 9) 32 + 7x = (36 + 9x) Solving 32 + 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. 32 + 7x + -9x = 36 + 9x + -9x Combine like terms: 7x + -9x = -2x 32 + -2x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -2x = 36 + 0 32 + -2x = 36 Add '-32' to each side of the equation. 32 + -32 + -2x = 36 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 36 + -32 -2x = 36 + -32 Combine like terms: 36 + -32 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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