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Simplifying 9[6 + -1(-5x + -5)] = 135x + 189 Reorder the terms: 9[6 + -1(-5 + -5x)] = 135x + 189 9[6 + (-5 * -1 + -5x * -1)] = 135x + 189 9[6 + (5 + 5x)] = 135x + 189 Combine like terms: 6 + 5 = 11 9[11 + 5x] = 135x + 189 [11 * 9 + 5x * 9] = 135x + 189 [99 + 45x] = 135x + 189 Reorder the terms: 99 + 45x = 189 + 135x Solving 99 + 45x = 189 + 135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-135x' to each side of the equation. 99 + 45x + -135x = 189 + 135x + -135x Combine like terms: 45x + -135x = -90x 99 + -90x = 189 + 135x + -135x Combine like terms: 135x + -135x = 0 99 + -90x = 189 + 0 99 + -90x = 189 Add '-99' to each side of the equation. 99 + -99 + -90x = 189 + -99 Combine like terms: 99 + -99 = 0 0 + -90x = 189 + -99 -90x = 189 + -99 Combine like terms: 189 + -99 = 90 -90x = 90 Divide each side by '-90'. x = -1 Simplifying x = -1
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