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Simplifying 7[6 + -1(-5x + -5)] = 70x + 112 Reorder the terms: 7[6 + -1(-5 + -5x)] = 70x + 112 7[6 + (-5 * -1 + -5x * -1)] = 70x + 112 7[6 + (5 + 5x)] = 70x + 112 Combine like terms: 6 + 5 = 11 7[11 + 5x] = 70x + 112 [11 * 7 + 5x * 7] = 70x + 112 [77 + 35x] = 70x + 112 Reorder the terms: 77 + 35x = 112 + 70x Solving 77 + 35x = 112 + 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. 77 + 35x + -70x = 112 + 70x + -70x Combine like terms: 35x + -70x = -35x 77 + -35x = 112 + 70x + -70x Combine like terms: 70x + -70x = 0 77 + -35x = 112 + 0 77 + -35x = 112 Add '-77' to each side of the equation. 77 + -77 + -35x = 112 + -77 Combine like terms: 77 + -77 = 0 0 + -35x = 112 + -77 -35x = 112 + -77 Combine like terms: 112 + -77 = 35 -35x = 35 Divide each side by '-35'. x = -1 Simplifying x = -1
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