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Simplifying -1[5x + -1(3x + 4)] = -3[3(2x + -4) + -2x] Reorder the terms: -1[5x + -1(4 + 3x)] = -3[3(2x + -4) + -2x] -1[5x + (4 * -1 + 3x * -1)] = -3[3(2x + -4) + -2x] -1[5x + (-4 + -3x)] = -3[3(2x + -4) + -2x] Reorder the terms: -1[-4 + 5x + -3x] = -3[3(2x + -4) + -2x] Combine like terms: 5x + -3x = 2x -1[-4 + 2x] = -3[3(2x + -4) + -2x] [-4 * -1 + 2x * -1] = -3[3(2x + -4) + -2x] [4 + -2x] = -3[3(2x + -4) + -2x] Reorder the terms: 4 + -2x = -3[3(-4 + 2x) + -2x] 4 + -2x = -3[(-4 * 3 + 2x * 3) + -2x] 4 + -2x = -3[(-12 + 6x) + -2x] Combine like terms: 6x + -2x = 4x 4 + -2x = -3[-12 + 4x] 4 + -2x = [-12 * -3 + 4x * -3] 4 + -2x = [36 + -12x] Solving 4 + -2x = 36 + -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. 4 + -2x + 12x = 36 + -12x + 12x Combine like terms: -2x + 12x = 10x 4 + 10x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 10x = 36 + 0 4 + 10x = 36 Add '-4' to each side of the equation. 4 + -4 + 10x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 36 + -4 10x = 36 + -4 Combine like terms: 36 + -4 = 32 10x = 32 Divide each side by '10'. x = 3.2 Simplifying x = 3.2
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