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Simplifying (27)(27 + x) = (21)(29 + 2x) (27 * 27 + x * 27) = (21)(29 + 2x) (729 + 27x) = (21)(29 + 2x) 729 + 27x = (29 * 21 + 2x * 21) 729 + 27x = (609 + 42x) Solving 729 + 27x = 609 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 729 + 27x + -42x = 609 + 42x + -42x Combine like terms: 27x + -42x = -15x 729 + -15x = 609 + 42x + -42x Combine like terms: 42x + -42x = 0 729 + -15x = 609 + 0 729 + -15x = 609 Add '-729' to each side of the equation. 729 + -729 + -15x = 609 + -729 Combine like terms: 729 + -729 = 0 0 + -15x = 609 + -729 -15x = 609 + -729 Combine like terms: 609 + -729 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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