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Simplifying 7[3 + -1(-2x + -7)] = 70x + 266 Reorder the terms: 7[3 + -1(-7 + -2x)] = 70x + 266 7[3 + (-7 * -1 + -2x * -1)] = 70x + 266 7[3 + (7 + 2x)] = 70x + 266 Combine like terms: 3 + 7 = 10 7[10 + 2x] = 70x + 266 [10 * 7 + 2x * 7] = 70x + 266 [70 + 14x] = 70x + 266 Reorder the terms: 70 + 14x = 266 + 70x Solving 70 + 14x = 266 + 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. 70 + 14x + -70x = 266 + 70x + -70x Combine like terms: 14x + -70x = -56x 70 + -56x = 266 + 70x + -70x Combine like terms: 70x + -70x = 0 70 + -56x = 266 + 0 70 + -56x = 266 Add '-70' to each side of the equation. 70 + -70 + -56x = 266 + -70 Combine like terms: 70 + -70 = 0 0 + -56x = 266 + -70 -56x = 266 + -70 Combine like terms: 266 + -70 = 196 -56x = 196 Divide each side by '-56'. x = -3.5 Simplifying x = -3.5
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