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Simplifying 6x + 7(5x + -21) = 222 Reorder the terms: 6x + 7(-21 + 5x) = 222 6x + (-21 * 7 + 5x * 7) = 222 6x + (-147 + 35x) = 222 Reorder the terms: -147 + 6x + 35x = 222 Combine like terms: 6x + 35x = 41x -147 + 41x = 222 Solving -147 + 41x = 222 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '147' to each side of the equation. -147 + 147 + 41x = 222 + 147 Combine like terms: -147 + 147 = 0 0 + 41x = 222 + 147 41x = 222 + 147 Combine like terms: 222 + 147 = 369 41x = 369 Divide each side by '41'. x = 9 Simplifying x = 9
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