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Simplifying -6[6x + -1(4x + 8)] = 9 + (6x + 3) Reorder the terms: -6[6x + -1(8 + 4x)] = 9 + (6x + 3) -6[6x + (8 * -1 + 4x * -1)] = 9 + (6x + 3) -6[6x + (-8 + -4x)] = 9 + (6x + 3) Reorder the terms: -6[-8 + 6x + -4x] = 9 + (6x + 3) Combine like terms: 6x + -4x = 2x -6[-8 + 2x] = 9 + (6x + 3) [-8 * -6 + 2x * -6] = 9 + (6x + 3) [48 + -12x] = 9 + (6x + 3) Reorder the terms: 48 + -12x = 9 + (3 + 6x) Remove parenthesis around (3 + 6x) 48 + -12x = 9 + 3 + 6x Combine like terms: 9 + 3 = 12 48 + -12x = 12 + 6x Solving 48 + -12x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + -12x + -6x = 12 + 6x + -6x Combine like terms: -12x + -6x = -18x 48 + -18x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -18x = 12 + 0 48 + -18x = 12 Add '-48' to each side of the equation. 48 + -48 + -18x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -18x = 12 + -48 -18x = 12 + -48 Combine like terms: 12 + -48 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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