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Simplifying -1[6x + -1(2x + 1)] = -4 + -1[4(2x + -3) + -2x] Reorder the terms: -1[6x + -1(1 + 2x)] = -4 + -1[4(2x + -3) + -2x] -1[6x + (1 * -1 + 2x * -1)] = -4 + -1[4(2x + -3) + -2x] -1[6x + (-1 + -2x)] = -4 + -1[4(2x + -3) + -2x] Reorder the terms: -1[-1 + 6x + -2x] = -4 + -1[4(2x + -3) + -2x] Combine like terms: 6x + -2x = 4x -1[-1 + 4x] = -4 + -1[4(2x + -3) + -2x] [-1 * -1 + 4x * -1] = -4 + -1[4(2x + -3) + -2x] [1 + -4x] = -4 + -1[4(2x + -3) + -2x] Reorder the terms: 1 + -4x = -4 + -1[4(-3 + 2x) + -2x] 1 + -4x = -4 + -1[(-3 * 4 + 2x * 4) + -2x] 1 + -4x = -4 + -1[(-12 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 1 + -4x = -4 + -1[-12 + 6x] 1 + -4x = -4 + [-12 * -1 + 6x * -1] 1 + -4x = -4 + [12 + -6x] Combine like terms: -4 + 12 = 8 1 + -4x = 8 + -6x Solving 1 + -4x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -4x + 6x = 8 + -6x + 6x Combine like terms: -4x + 6x = 2x 1 + 2x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 2x = 8 + 0 1 + 2x = 8 Add '-1' to each side of the equation. 1 + -1 + 2x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 8 + -1 2x = 8 + -1 Combine like terms: 8 + -1 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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