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Simplifying 7x + 9 = 4(x + 9) Reorder the terms: 9 + 7x = 4(x + 9) Reorder the terms: 9 + 7x = 4(9 + x) 9 + 7x = (9 * 4 + x * 4) 9 + 7x = (36 + 4x) Solving 9 + 7x = 36 + 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 + 7x + -4x = 36 + 4x + -4x Combine like terms: 7x + -4x = 3x 9 + 3x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 3x = 36 + 0 9 + 3x = 36 Add '-9' to each side of the equation. 9 + -9 + 3x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 36 + -9 3x = 36 + -9 Combine like terms: 36 + -9 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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