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Simplifying 6[7 + -1(-7x + -9)] = 168x + 258 Reorder the terms: 6[7 + -1(-9 + -7x)] = 168x + 258 6[7 + (-9 * -1 + -7x * -1)] = 168x + 258 6[7 + (9 + 7x)] = 168x + 258 Combine like terms: 7 + 9 = 16 6[16 + 7x] = 168x + 258 [16 * 6 + 7x * 6] = 168x + 258 [96 + 42x] = 168x + 258 Reorder the terms: 96 + 42x = 258 + 168x Solving 96 + 42x = 258 + 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. 96 + 42x + -168x = 258 + 168x + -168x Combine like terms: 42x + -168x = -126x 96 + -126x = 258 + 168x + -168x Combine like terms: 168x + -168x = 0 96 + -126x = 258 + 0 96 + -126x = 258 Add '-96' to each side of the equation. 96 + -96 + -126x = 258 + -96 Combine like terms: 96 + -96 = 0 0 + -126x = 258 + -96 -126x = 258 + -96 Combine like terms: 258 + -96 = 162 -126x = 162 Divide each side by '-126'. x = -1.285714286 Simplifying x = -1.285714286
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