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Simplifying 8 + -5x + 3[3x + -1(x + -3)] = 4[6 + -1(2 + -1x)] + -4x Reorder the terms: 8 + -5x + 3[3x + -1(-3 + x)] = 4[6 + -1(2 + -1x)] + -4x 8 + -5x + 3[3x + (-3 * -1 + x * -1)] = 4[6 + -1(2 + -1x)] + -4x 8 + -5x + 3[3x + (3 + -1x)] = 4[6 + -1(2 + -1x)] + -4x Reorder the terms: 8 + -5x + 3[3 + 3x + -1x] = 4[6 + -1(2 + -1x)] + -4x Combine like terms: 3x + -1x = 2x 8 + -5x + 3[3 + 2x] = 4[6 + -1(2 + -1x)] + -4x 8 + -5x + [3 * 3 + 2x * 3] = 4[6 + -1(2 + -1x)] + -4x 8 + -5x + [9 + 6x] = 4[6 + -1(2 + -1x)] + -4x Reorder the terms: 8 + 9 + -5x + 6x = 4[6 + -1(2 + -1x)] + -4x Combine like terms: 8 + 9 = 17 17 + -5x + 6x = 4[6 + -1(2 + -1x)] + -4x Combine like terms: -5x + 6x = 1x 17 + 1x = 4[6 + -1(2 + -1x)] + -4x 17 + 1x = 4[6 + (2 * -1 + -1x * -1)] + -4x 17 + 1x = 4[6 + (-2 + 1x)] + -4x Combine like terms: 6 + -2 = 4 17 + 1x = 4[4 + 1x] + -4x 17 + 1x = [4 * 4 + 1x * 4] + -4x 17 + 1x = [16 + 4x] + -4x Combine like terms: 4x + -4x = 0 17 + 1x = 16 + 0 17 + 1x = 16 Solving 17 + 1x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 16 + -17 1x = 16 + -17 Combine like terms: 16 + -17 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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