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Simplifying 9[3 + -1(-7x + -7)] = 315x + 342 Reorder the terms: 9[3 + -1(-7 + -7x)] = 315x + 342 9[3 + (-7 * -1 + -7x * -1)] = 315x + 342 9[3 + (7 + 7x)] = 315x + 342 Combine like terms: 3 + 7 = 10 9[10 + 7x] = 315x + 342 [10 * 9 + 7x * 9] = 315x + 342 [90 + 63x] = 315x + 342 Reorder the terms: 90 + 63x = 342 + 315x Solving 90 + 63x = 342 + 315x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-315x' to each side of the equation. 90 + 63x + -315x = 342 + 315x + -315x Combine like terms: 63x + -315x = -252x 90 + -252x = 342 + 315x + -315x Combine like terms: 315x + -315x = 0 90 + -252x = 342 + 0 90 + -252x = 342 Add '-90' to each side of the equation. 90 + -90 + -252x = 342 + -90 Combine like terms: 90 + -90 = 0 0 + -252x = 342 + -90 -252x = 342 + -90 Combine like terms: 342 + -90 = 252 -252x = 252 Divide each side by '-252'. x = -1 Simplifying x = -1
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