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Simplifying 3[1 + -1(-6x + -1)] = 108x + 21 Reorder the terms: 3[1 + -1(-1 + -6x)] = 108x + 21 3[1 + (-1 * -1 + -6x * -1)] = 108x + 21 3[1 + (1 + 6x)] = 108x + 21 Combine like terms: 1 + 1 = 2 3[2 + 6x] = 108x + 21 [2 * 3 + 6x * 3] = 108x + 21 [6 + 18x] = 108x + 21 Reorder the terms: 6 + 18x = 21 + 108x Solving 6 + 18x = 21 + 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. 6 + 18x + -108x = 21 + 108x + -108x Combine like terms: 18x + -108x = -90x 6 + -90x = 21 + 108x + -108x Combine like terms: 108x + -108x = 0 6 + -90x = 21 + 0 6 + -90x = 21 Add '-6' to each side of the equation. 6 + -6 + -90x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -90x = 21 + -6 -90x = 21 + -6 Combine like terms: 21 + -6 = 15 -90x = 15 Divide each side by '-90'. x = -0.1666666667 Simplifying x = -0.1666666667
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