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Simplifying 6[6 + -1(-3x + -2)] = 72x + 84 Reorder the terms: 6[6 + -1(-2 + -3x)] = 72x + 84 6[6 + (-2 * -1 + -3x * -1)] = 72x + 84 6[6 + (2 + 3x)] = 72x + 84 Combine like terms: 6 + 2 = 8 6[8 + 3x] = 72x + 84 [8 * 6 + 3x * 6] = 72x + 84 [48 + 18x] = 72x + 84 Reorder the terms: 48 + 18x = 84 + 72x Solving 48 + 18x = 84 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 48 + 18x + -72x = 84 + 72x + -72x Combine like terms: 18x + -72x = -54x 48 + -54x = 84 + 72x + -72x Combine like terms: 72x + -72x = 0 48 + -54x = 84 + 0 48 + -54x = 84 Add '-48' to each side of the equation. 48 + -48 + -54x = 84 + -48 Combine like terms: 48 + -48 = 0 0 + -54x = 84 + -48 -54x = 84 + -48 Combine like terms: 84 + -48 = 36 -54x = 36 Divide each side by '-54'. x = -0.6666666667 Simplifying x = -0.6666666667
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