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Simplifying 7[9 + -1(-2x + -1)] = 84x + 105 Reorder the terms: 7[9 + -1(-1 + -2x)] = 84x + 105 7[9 + (-1 * -1 + -2x * -1)] = 84x + 105 7[9 + (1 + 2x)] = 84x + 105 Combine like terms: 9 + 1 = 10 7[10 + 2x] = 84x + 105 [10 * 7 + 2x * 7] = 84x + 105 [70 + 14x] = 84x + 105 Reorder the terms: 70 + 14x = 105 + 84x Solving 70 + 14x = 105 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 70 + 14x + -84x = 105 + 84x + -84x Combine like terms: 14x + -84x = -70x 70 + -70x = 105 + 84x + -84x Combine like terms: 84x + -84x = 0 70 + -70x = 105 + 0 70 + -70x = 105 Add '-70' to each side of the equation. 70 + -70 + -70x = 105 + -70 Combine like terms: 70 + -70 = 0 0 + -70x = 105 + -70 -70x = 105 + -70 Combine like terms: 105 + -70 = 35 -70x = 35 Divide each side by '-70'. x = -0.5 Simplifying x = -0.5
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