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Simplifying 2 + -1(4x + 5) = 3[(9x + -5) + -1(x + -8)] Reorder the terms: 2 + -1(5 + 4x) = 3[(9x + -5) + -1(x + -8)] 2 + (5 * -1 + 4x * -1) = 3[(9x + -5) + -1(x + -8)] 2 + (-5 + -4x) = 3[(9x + -5) + -1(x + -8)] Combine like terms: 2 + -5 = -3 -3 + -4x = 3[(9x + -5) + -1(x + -8)] Reorder the terms: -3 + -4x = 3[(-5 + 9x) + -1(x + -8)] Remove parenthesis around (-5 + 9x) -3 + -4x = 3[-5 + 9x + -1(x + -8)] Reorder the terms: -3 + -4x = 3[-5 + 9x + -1(-8 + x)] -3 + -4x = 3[-5 + 9x + (-8 * -1 + x * -1)] -3 + -4x = 3[-5 + 9x + (8 + -1x)] Reorder the terms: -3 + -4x = 3[-5 + 8 + 9x + -1x] Combine like terms: -5 + 8 = 3 -3 + -4x = 3[3 + 9x + -1x] Combine like terms: 9x + -1x = 8x -3 + -4x = 3[3 + 8x] -3 + -4x = [3 * 3 + 8x * 3] -3 + -4x = [9 + 24x] Solving -3 + -4x = 9 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -3 + -4x + -24x = 9 + 24x + -24x Combine like terms: -4x + -24x = -28x -3 + -28x = 9 + 24x + -24x Combine like terms: 24x + -24x = 0 -3 + -28x = 9 + 0 -3 + -28x = 9 Add '3' to each side of the equation. -3 + 3 + -28x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -28x = 9 + 3 -28x = 9 + 3 Combine like terms: 9 + 3 = 12 -28x = 12 Divide each side by '-28'. x = -0.4285714286 Simplifying x = -0.4285714286
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