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Simplifying 7[7 + -1(2x + -2)] = 84x + 133 Reorder the terms: 7[7 + -1(-2 + 2x)] = 84x + 133 7[7 + (-2 * -1 + 2x * -1)] = 84x + 133 7[7 + (2 + -2x)] = 84x + 133 Combine like terms: 7 + 2 = 9 7[9 + -2x] = 84x + 133 [9 * 7 + -2x * 7] = 84x + 133 [63 + -14x] = 84x + 133 Reorder the terms: 63 + -14x = 133 + 84x Solving 63 + -14x = 133 + 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. 63 + -14x + -84x = 133 + 84x + -84x Combine like terms: -14x + -84x = -98x 63 + -98x = 133 + 84x + -84x Combine like terms: 84x + -84x = 0 63 + -98x = 133 + 0 63 + -98x = 133 Add '-63' to each side of the equation. 63 + -63 + -98x = 133 + -63 Combine like terms: 63 + -63 = 0 0 + -98x = 133 + -63 -98x = 133 + -63 Combine like terms: 133 + -63 = 70 -98x = 70 Divide each side by '-98'. x = -0.7142857143 Simplifying x = -0.7142857143
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