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Simplifying 6[7 + -1(-7x + -7)] = 126x + 168 Reorder the terms: 6[7 + -1(-7 + -7x)] = 126x + 168 6[7 + (-7 * -1 + -7x * -1)] = 126x + 168 6[7 + (7 + 7x)] = 126x + 168 Combine like terms: 7 + 7 = 14 6[14 + 7x] = 126x + 168 [14 * 6 + 7x * 6] = 126x + 168 [84 + 42x] = 126x + 168 Reorder the terms: 84 + 42x = 168 + 126x Solving 84 + 42x = 168 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 84 + 42x + -126x = 168 + 126x + -126x Combine like terms: 42x + -126x = -84x 84 + -84x = 168 + 126x + -126x Combine like terms: 126x + -126x = 0 84 + -84x = 168 + 0 84 + -84x = 168 Add '-84' to each side of the equation. 84 + -84 + -84x = 168 + -84 Combine like terms: 84 + -84 = 0 0 + -84x = 168 + -84 -84x = 168 + -84 Combine like terms: 168 + -84 = 84 -84x = 84 Divide each side by '-84'. x = -1 Simplifying x = -1
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