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Simplifying 12x + 5(9 + -1x) = 429 12x + (9 * 5 + -1x * 5) = 429 12x + (45 + -5x) = 429 Reorder the terms: 45 + 12x + -5x = 429 Combine like terms: 12x + -5x = 7x 45 + 7x = 429 Solving 45 + 7x = 429 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 7x = 429 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 429 + -45 7x = 429 + -45 Combine like terms: 429 + -45 = 384 7x = 384 Divide each side by '7'. x = 54.85714286 Simplifying x = 54.85714286
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