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Simplifying (2x + -3) = -1[6x + -5(8 + -6x)] Reorder the terms: (-3 + 2x) = -1[6x + -5(8 + -6x)] Remove parenthesis around (-3 + 2x) -3 + 2x = -1[6x + -5(8 + -6x)] -3 + 2x = -1[6x + (8 * -5 + -6x * -5)] -3 + 2x = -1[6x + (-40 + 30x)] Reorder the terms: -3 + 2x = -1[-40 + 6x + 30x] Combine like terms: 6x + 30x = 36x -3 + 2x = -1[-40 + 36x] -3 + 2x = [-40 * -1 + 36x * -1] -3 + 2x = [40 + -36x] Solving -3 + 2x = 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. -3 + 2x + 36x = 40 + -36x + 36x Combine like terms: 2x + 36x = 38x -3 + 38x = 40 + -36x + 36x Combine like terms: -36x + 36x = 0 -3 + 38x = 40 + 0 -3 + 38x = 40 Add '3' to each side of the equation. -3 + 3 + 38x = 40 + 3 Combine like terms: -3 + 3 = 0 0 + 38x = 40 + 3 38x = 40 + 3 Combine like terms: 40 + 3 = 43 38x = 43 Divide each side by '38'. x = 1.131578947 Simplifying x = 1.131578947
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