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Simplifying 4(-2 + -3x) = -1[6x + -5(8 + -6x)] (-2 * 4 + -3x * 4) = -1[6x + -5(8 + -6x)] (-8 + -12x) = -1[6x + -5(8 + -6x)] -8 + -12x = -1[6x + (8 * -5 + -6x * -5)] -8 + -12x = -1[6x + (-40 + 30x)] Reorder the terms: -8 + -12x = -1[-40 + 6x + 30x] Combine like terms: 6x + 30x = 36x -8 + -12x = -1[-40 + 36x] -8 + -12x = [-40 * -1 + 36x * -1] -8 + -12x = [40 + -36x] Solving -8 + -12x = 40 + -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. -8 + -12x + 36x = 40 + -36x + 36x Combine like terms: -12x + 36x = 24x -8 + 24x = 40 + -36x + 36x Combine like terms: -36x + 36x = 0 -8 + 24x = 40 + 0 -8 + 24x = 40 Add '8' to each side of the equation. -8 + 8 + 24x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 24x = 40 + 8 24x = 40 + 8 Combine like terms: 40 + 8 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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