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Simplifying -6[x + -4(x + 2)] = 5x + -4 Reorder the terms: -6[x + -4(2 + x)] = 5x + -4 -6[x + (2 * -4 + x * -4)] = 5x + -4 -6[x + (-8 + -4x)] = 5x + -4 Reorder the terms: -6[-8 + x + -4x] = 5x + -4 Combine like terms: x + -4x = -3x -6[-8 + -3x] = 5x + -4 [-8 * -6 + -3x * -6] = 5x + -4 [48 + 18x] = 5x + -4 Reorder the terms: 48 + 18x = -4 + 5x Solving 48 + 18x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + 18x + -5x = -4 + 5x + -5x Combine like terms: 18x + -5x = 13x 48 + 13x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 13x = -4 + 0 48 + 13x = -4 Add '-48' to each side of the equation. 48 + -48 + 13x = -4 + -48 Combine like terms: 48 + -48 = 0 0 + 13x = -4 + -48 13x = -4 + -48 Combine like terms: -4 + -48 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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