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Simplifying 4(-2 + -3) = -1[6x + -5(8 + -6x)] Combine like terms: -2 + -3 = -5 4(-5) = -1[6x + -5(8 + -6x)] Multiply 4 * -5 -20 = -1[6x + -5(8 + -6x)] -20 = -1[6x + (8 * -5 + -6x * -5)] -20 = -1[6x + (-40 + 30x)] Reorder the terms: -20 = -1[-40 + 6x + 30x] Combine like terms: 6x + 30x = 36x -20 = -1[-40 + 36x] -20 = [-40 * -1 + 36x * -1] -20 = [40 + -36x] Solving -20 = 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. -20 + 36x = 40 + -36x + 36x Combine like terms: -36x + 36x = 0 -20 + 36x = 40 + 0 -20 + 36x = 40 Add '20' to each side of the equation. -20 + 20 + 36x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 36x = 40 + 20 36x = 40 + 20 Combine like terms: 40 + 20 = 60 36x = 60 Divide each side by '36'. x = 1.666666667 Simplifying x = 1.666666667
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