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Simplifying 3 + -1(3x + 6) = 3[(5x + -6) + -1(x + -8)] Reorder the terms: 3 + -1(6 + 3x) = 3[(5x + -6) + -1(x + -8)] 3 + (6 * -1 + 3x * -1) = 3[(5x + -6) + -1(x + -8)] 3 + (-6 + -3x) = 3[(5x + -6) + -1(x + -8)] Combine like terms: 3 + -6 = -3 -3 + -3x = 3[(5x + -6) + -1(x + -8)] Reorder the terms: -3 + -3x = 3[(-6 + 5x) + -1(x + -8)] Remove parenthesis around (-6 + 5x) -3 + -3x = 3[-6 + 5x + -1(x + -8)] Reorder the terms: -3 + -3x = 3[-6 + 5x + -1(-8 + x)] -3 + -3x = 3[-6 + 5x + (-8 * -1 + x * -1)] -3 + -3x = 3[-6 + 5x + (8 + -1x)] Reorder the terms: -3 + -3x = 3[-6 + 8 + 5x + -1x] Combine like terms: -6 + 8 = 2 -3 + -3x = 3[2 + 5x + -1x] Combine like terms: 5x + -1x = 4x -3 + -3x = 3[2 + 4x] -3 + -3x = [2 * 3 + 4x * 3] -3 + -3x = [6 + 12x] Solving -3 + -3x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + -3x + -12x = 6 + 12x + -12x Combine like terms: -3x + -12x = -15x -3 + -15x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -15x = 6 + 0 -3 + -15x = 6 Add '3' to each side of the equation. -3 + 3 + -15x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -15x = 6 + 3 -15x = 6 + 3 Combine like terms: 6 + 3 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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