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Simplifying 6[5 + -1(-7x + -3)] = 168x + 102 Reorder the terms: 6[5 + -1(-3 + -7x)] = 168x + 102 6[5 + (-3 * -1 + -7x * -1)] = 168x + 102 6[5 + (3 + 7x)] = 168x + 102 Combine like terms: 5 + 3 = 8 6[8 + 7x] = 168x + 102 [8 * 6 + 7x * 6] = 168x + 102 [48 + 42x] = 168x + 102 Reorder the terms: 48 + 42x = 102 + 168x Solving 48 + 42x = 102 + 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. 48 + 42x + -168x = 102 + 168x + -168x Combine like terms: 42x + -168x = -126x 48 + -126x = 102 + 168x + -168x Combine like terms: 168x + -168x = 0 48 + -126x = 102 + 0 48 + -126x = 102 Add '-48' to each side of the equation. 48 + -48 + -126x = 102 + -48 Combine like terms: 48 + -48 = 0 0 + -126x = 102 + -48 -126x = 102 + -48 Combine like terms: 102 + -48 = 54 -126x = 54 Divide each side by '-126'. x = -0.4285714286 Simplifying x = -0.4285714286
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