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Simplifying 414 = 9(10 + 3x) 414 = (10 * 9 + 3x * 9) 414 = (90 + 27x) Solving 414 = 90 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 414 + -27x = 90 + 27x + -27x Combine like terms: 27x + -27x = 0 414 + -27x = 90 + 0 414 + -27x = 90 Add '-414' to each side of the equation. 414 + -414 + -27x = 90 + -414 Combine like terms: 414 + -414 = 0 0 + -27x = 90 + -414 -27x = 90 + -414 Combine like terms: 90 + -414 = -324 -27x = -324 Divide each side by '-27'. x = 12 Simplifying x = 12
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