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Simplifying 8x + 5[2(3x + -1)] = 12 + -1[6(2x + 7)] Reorder the terms: 8x + 5[2(-1 + 3x)] = 12 + -1[6(2x + 7)] 8x + 5[(-1 * 2 + 3x * 2)] = 12 + -1[6(2x + 7)] 8x + 5[(-2 + 6x)] = 12 + -1[6(2x + 7)] 8x + [-2 * 5 + 6x * 5] = 12 + -1[6(2x + 7)] 8x + [-10 + 30x] = 12 + -1[6(2x + 7)] Reorder the terms: -10 + 8x + 30x = 12 + -1[6(2x + 7)] Combine like terms: 8x + 30x = 38x -10 + 38x = 12 + -1[6(2x + 7)] Reorder the terms: -10 + 38x = 12 + -1[6(7 + 2x)] -10 + 38x = 12 + -1[(7 * 6 + 2x * 6)] -10 + 38x = 12 + -1[(42 + 12x)] -10 + 38x = 12 + [42 * -1 + 12x * -1] -10 + 38x = 12 + [-42 + -12x] Combine like terms: 12 + -42 = -30 -10 + 38x = -30 + -12x Solving -10 + 38x = -30 + -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. -10 + 38x + 12x = -30 + -12x + 12x Combine like terms: 38x + 12x = 50x -10 + 50x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 50x = -30 + 0 -10 + 50x = -30 Add '10' to each side of the equation. -10 + 10 + 50x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 50x = -30 + 10 50x = -30 + 10 Combine like terms: -30 + 10 = -20 50x = -20 Divide each side by '50'. x = -0.4 Simplifying x = -0.4
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