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Simplifying 7[6 + -1(-6x + -1)] = 378x + 105 Reorder the terms: 7[6 + -1(-1 + -6x)] = 378x + 105 7[6 + (-1 * -1 + -6x * -1)] = 378x + 105 7[6 + (1 + 6x)] = 378x + 105 Combine like terms: 6 + 1 = 7 7[7 + 6x] = 378x + 105 [7 * 7 + 6x * 7] = 378x + 105 [49 + 42x] = 378x + 105 Reorder the terms: 49 + 42x = 105 + 378x Solving 49 + 42x = 105 + 378x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-378x' to each side of the equation. 49 + 42x + -378x = 105 + 378x + -378x Combine like terms: 42x + -378x = -336x 49 + -336x = 105 + 378x + -378x Combine like terms: 378x + -378x = 0 49 + -336x = 105 + 0 49 + -336x = 105 Add '-49' to each side of the equation. 49 + -49 + -336x = 105 + -49 Combine like terms: 49 + -49 = 0 0 + -336x = 105 + -49 -336x = 105 + -49 Combine like terms: 105 + -49 = 56 -336x = 56 Divide each side by '-336'. x = -0.1666666667 Simplifying x = -0.1666666667
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