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Simplifying 6[3 + -1(-7x + -6)] = 168x + 162 Reorder the terms: 6[3 + -1(-6 + -7x)] = 168x + 162 6[3 + (-6 * -1 + -7x * -1)] = 168x + 162 6[3 + (6 + 7x)] = 168x + 162 Combine like terms: 3 + 6 = 9 6[9 + 7x] = 168x + 162 [9 * 6 + 7x * 6] = 168x + 162 [54 + 42x] = 168x + 162 Reorder the terms: 54 + 42x = 162 + 168x Solving 54 + 42x = 162 + 168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168x' to each side of the equation. 54 + 42x + -168x = 162 + 168x + -168x Combine like terms: 42x + -168x = -126x 54 + -126x = 162 + 168x + -168x Combine like terms: 168x + -168x = 0 54 + -126x = 162 + 0 54 + -126x = 162 Add '-54' to each side of the equation. 54 + -54 + -126x = 162 + -54 Combine like terms: 54 + -54 = 0 0 + -126x = 162 + -54 -126x = 162 + -54 Combine like terms: 162 + -54 = 108 -126x = 108 Divide each side by '-126'. x = -0.8571428571 Simplifying x = -0.8571428571
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