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Simplifying -1[6x + -1(2x + 1)] = -4[4(2x + -3) + -2x] Reorder the terms: -1[6x + -1(1 + 2x)] = -4[4(2x + -3) + -2x] -1[6x + (1 * -1 + 2x * -1)] = -4[4(2x + -3) + -2x] -1[6x + (-1 + -2x)] = -4[4(2x + -3) + -2x] Reorder the terms: -1[-1 + 6x + -2x] = -4[4(2x + -3) + -2x] Combine like terms: 6x + -2x = 4x -1[-1 + 4x] = -4[4(2x + -3) + -2x] [-1 * -1 + 4x * -1] = -4[4(2x + -3) + -2x] [1 + -4x] = -4[4(2x + -3) + -2x] Reorder the terms: 1 + -4x = -4[4(-3 + 2x) + -2x] 1 + -4x = -4[(-3 * 4 + 2x * 4) + -2x] 1 + -4x = -4[(-12 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 1 + -4x = -4[-12 + 6x] 1 + -4x = [-12 * -4 + 6x * -4] 1 + -4x = [48 + -24x] Solving 1 + -4x = 48 + -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. 1 + -4x + 24x = 48 + -24x + 24x Combine like terms: -4x + 24x = 20x 1 + 20x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 1 + 20x = 48 + 0 1 + 20x = 48 Add '-1' to each side of the equation. 1 + -1 + 20x = 48 + -1 Combine like terms: 1 + -1 = 0 0 + 20x = 48 + -1 20x = 48 + -1 Combine like terms: 48 + -1 = 47 20x = 47 Divide each side by '20'. x = 2.35 Simplifying x = 2.35
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