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Simplifying 7(x + 6) = 9(x + 4) Reorder the terms: 7(6 + x) = 9(x + 4) (6 * 7 + x * 7) = 9(x + 4) (42 + 7x) = 9(x + 4) Reorder the terms: 42 + 7x = 9(4 + x) 42 + 7x = (4 * 9 + x * 9) 42 + 7x = (36 + 9x) Solving 42 + 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. 42 + 7x + -9x = 36 + 9x + -9x Combine like terms: 7x + -9x = -2x 42 + -2x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -2x = 36 + 0 42 + -2x = 36 Add '-42' to each side of the equation. 42 + -42 + -2x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 36 + -42 -2x = 36 + -42 Combine like terms: 36 + -42 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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