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Simplifying 9(x + 6) = 4(x + 21) Reorder the terms: 9(6 + x) = 4(x + 21) (6 * 9 + x * 9) = 4(x + 21) (54 + 9x) = 4(x + 21) Reorder the terms: 54 + 9x = 4(21 + x) 54 + 9x = (21 * 4 + x * 4) 54 + 9x = (84 + 4x) Solving 54 + 9x = 84 + 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. 54 + 9x + -4x = 84 + 4x + -4x Combine like terms: 9x + -4x = 5x 54 + 5x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 5x = 84 + 0 54 + 5x = 84 Add '-54' to each side of the equation. 54 + -54 + 5x = 84 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 84 + -54 5x = 84 + -54 Combine like terms: 84 + -54 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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