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Simplifying 6[4 + -1(-2x + -4)] = 36x + 96 Reorder the terms: 6[4 + -1(-4 + -2x)] = 36x + 96 6[4 + (-4 * -1 + -2x * -1)] = 36x + 96 6[4 + (4 + 2x)] = 36x + 96 Combine like terms: 4 + 4 = 8 6[8 + 2x] = 36x + 96 [8 * 6 + 2x * 6] = 36x + 96 [48 + 12x] = 36x + 96 Reorder the terms: 48 + 12x = 96 + 36x Solving 48 + 12x = 96 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 48 + 12x + -36x = 96 + 36x + -36x Combine like terms: 12x + -36x = -24x 48 + -24x = 96 + 36x + -36x Combine like terms: 36x + -36x = 0 48 + -24x = 96 + 0 48 + -24x = 96 Add '-48' to each side of the equation. 48 + -48 + -24x = 96 + -48 Combine like terms: 48 + -48 = 0 0 + -24x = 96 + -48 -24x = 96 + -48 Combine like terms: 96 + -48 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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