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Simplifying -1[10x + -1(3x + 1)] = -4[4(3x + -3) + -3x] Reorder the terms: -1[10x + -1(1 + 3x)] = -4[4(3x + -3) + -3x] -1[10x + (1 * -1 + 3x * -1)] = -4[4(3x + -3) + -3x] -1[10x + (-1 + -3x)] = -4[4(3x + -3) + -3x] Reorder the terms: -1[-1 + 10x + -3x] = -4[4(3x + -3) + -3x] Combine like terms: 10x + -3x = 7x -1[-1 + 7x] = -4[4(3x + -3) + -3x] [-1 * -1 + 7x * -1] = -4[4(3x + -3) + -3x] [1 + -7x] = -4[4(3x + -3) + -3x] Reorder the terms: 1 + -7x = -4[4(-3 + 3x) + -3x] 1 + -7x = -4[(-3 * 4 + 3x * 4) + -3x] 1 + -7x = -4[(-12 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 1 + -7x = -4[-12 + 9x] 1 + -7x = [-12 * -4 + 9x * -4] 1 + -7x = [48 + -36x] Solving 1 + -7x = 48 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 1 + -7x + 36x = 48 + -36x + 36x Combine like terms: -7x + 36x = 29x 1 + 29x = 48 + -36x + 36x Combine like terms: -36x + 36x = 0 1 + 29x = 48 + 0 1 + 29x = 48 Add '-1' to each side of the equation. 1 + -1 + 29x = 48 + -1 Combine like terms: 1 + -1 = 0 0 + 29x = 48 + -1 29x = 48 + -1 Combine like terms: 48 + -1 = 47 29x = 47 Divide each side by '29'. x = 1.620689655 Simplifying x = 1.620689655
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