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Simplifying -3[3x + -1(2x + 5)] = -4[3(2x + -4) + -3x] Reorder the terms: -3[3x + -1(5 + 2x)] = -4[3(2x + -4) + -3x] -3[3x + (5 * -1 + 2x * -1)] = -4[3(2x + -4) + -3x] -3[3x + (-5 + -2x)] = -4[3(2x + -4) + -3x] Reorder the terms: -3[-5 + 3x + -2x] = -4[3(2x + -4) + -3x] Combine like terms: 3x + -2x = 1x -3[-5 + 1x] = -4[3(2x + -4) + -3x] [-5 * -3 + 1x * -3] = -4[3(2x + -4) + -3x] [15 + -3x] = -4[3(2x + -4) + -3x] Reorder the terms: 15 + -3x = -4[3(-4 + 2x) + -3x] 15 + -3x = -4[(-4 * 3 + 2x * 3) + -3x] 15 + -3x = -4[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 15 + -3x = -4[-12 + 3x] 15 + -3x = [-12 * -4 + 3x * -4] 15 + -3x = [48 + -12x] Solving 15 + -3x = 48 + -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. 15 + -3x + 12x = 48 + -12x + 12x Combine like terms: -3x + 12x = 9x 15 + 9x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 9x = 48 + 0 15 + 9x = 48 Add '-15' to each side of the equation. 15 + -15 + 9x = 48 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 48 + -15 9x = 48 + -15 Combine like terms: 48 + -15 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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