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Simplifying -1[6x + -1(2x + 3)] = -4[3(3x + -4) + -3x] Reorder the terms: -1[6x + -1(3 + 2x)] = -4[3(3x + -4) + -3x] -1[6x + (3 * -1 + 2x * -1)] = -4[3(3x + -4) + -3x] -1[6x + (-3 + -2x)] = -4[3(3x + -4) + -3x] Reorder the terms: -1[-3 + 6x + -2x] = -4[3(3x + -4) + -3x] Combine like terms: 6x + -2x = 4x -1[-3 + 4x] = -4[3(3x + -4) + -3x] [-3 * -1 + 4x * -1] = -4[3(3x + -4) + -3x] [3 + -4x] = -4[3(3x + -4) + -3x] Reorder the terms: 3 + -4x = -4[3(-4 + 3x) + -3x] 3 + -4x = -4[(-4 * 3 + 3x * 3) + -3x] 3 + -4x = -4[(-12 + 9x) + -3x] Combine like terms: 9x + -3x = 6x 3 + -4x = -4[-12 + 6x] 3 + -4x = [-12 * -4 + 6x * -4] 3 + -4x = [48 + -24x] Solving 3 + -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. 3 + -4x + 24x = 48 + -24x + 24x Combine like terms: -4x + 24x = 20x 3 + 20x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + 20x = 48 + 0 3 + 20x = 48 Add '-3' to each side of the equation. 3 + -3 + 20x = 48 + -3 Combine like terms: 3 + -3 = 0 0 + 20x = 48 + -3 20x = 48 + -3 Combine like terms: 48 + -3 = 45 20x = 45 Divide each side by '20'. x = 2.25 Simplifying x = 2.25
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