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Simplifying 7[5 + -1(-5x + -9)] = 70x + 161 Reorder the terms: 7[5 + -1(-9 + -5x)] = 70x + 161 7[5 + (-9 * -1 + -5x * -1)] = 70x + 161 7[5 + (9 + 5x)] = 70x + 161 Combine like terms: 5 + 9 = 14 7[14 + 5x] = 70x + 161 [14 * 7 + 5x * 7] = 70x + 161 [98 + 35x] = 70x + 161 Reorder the terms: 98 + 35x = 161 + 70x Solving 98 + 35x = 161 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 98 + 35x + -70x = 161 + 70x + -70x Combine like terms: 35x + -70x = -35x 98 + -35x = 161 + 70x + -70x Combine like terms: 70x + -70x = 0 98 + -35x = 161 + 0 98 + -35x = 161 Add '-98' to each side of the equation. 98 + -98 + -35x = 161 + -98 Combine like terms: 98 + -98 = 0 0 + -35x = 161 + -98 -35x = 161 + -98 Combine like terms: 161 + -98 = 63 -35x = 63 Divide each side by '-35'. x = -1.8 Simplifying x = -1.8
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