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Simplifying 9[3 + -1(-9x + -7)] = 324x + 279 Reorder the terms: 9[3 + -1(-7 + -9x)] = 324x + 279 9[3 + (-7 * -1 + -9x * -1)] = 324x + 279 9[3 + (7 + 9x)] = 324x + 279 Combine like terms: 3 + 7 = 10 9[10 + 9x] = 324x + 279 [10 * 9 + 9x * 9] = 324x + 279 [90 + 81x] = 324x + 279 Reorder the terms: 90 + 81x = 279 + 324x Solving 90 + 81x = 279 + 324x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-324x' to each side of the equation. 90 + 81x + -324x = 279 + 324x + -324x Combine like terms: 81x + -324x = -243x 90 + -243x = 279 + 324x + -324x Combine like terms: 324x + -324x = 0 90 + -243x = 279 + 0 90 + -243x = 279 Add '-90' to each side of the equation. 90 + -90 + -243x = 279 + -90 Combine like terms: 90 + -90 = 0 0 + -243x = 279 + -90 -243x = 279 + -90 Combine like terms: 279 + -90 = 189 -243x = 189 Divide each side by '-243'. x = -0.7777777778 Simplifying x = -0.7777777778
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