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Simplifying -1[10x + -1(3x + 1)] = -6 + -1[4(3x + -3) + -3x] Reorder the terms: -1[10x + -1(1 + 3x)] = -6 + -1[4(3x + -3) + -3x] -1[10x + (1 * -1 + 3x * -1)] = -6 + -1[4(3x + -3) + -3x] -1[10x + (-1 + -3x)] = -6 + -1[4(3x + -3) + -3x] Reorder the terms: -1[-1 + 10x + -3x] = -6 + -1[4(3x + -3) + -3x] Combine like terms: 10x + -3x = 7x -1[-1 + 7x] = -6 + -1[4(3x + -3) + -3x] [-1 * -1 + 7x * -1] = -6 + -1[4(3x + -3) + -3x] [1 + -7x] = -6 + -1[4(3x + -3) + -3x] Reorder the terms: 1 + -7x = -6 + -1[4(-3 + 3x) + -3x] 1 + -7x = -6 + -1[(-3 * 4 + 3x * 4) + -3x] 1 + -7x = -6 + -1[(-12 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 1 + -7x = -6 + -1[-12 + 9x] 1 + -7x = -6 + [-12 * -1 + 9x * -1] 1 + -7x = -6 + [12 + -9x] Combine like terms: -6 + 12 = 6 1 + -7x = 6 + -9x Solving 1 + -7x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 1 + -7x + 9x = 6 + -9x + 9x Combine like terms: -7x + 9x = 2x 1 + 2x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 2x = 6 + 0 1 + 2x = 6 Add '-1' to each side of the equation. 1 + -1 + 2x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 6 + -1 2x = 6 + -1 Combine like terms: 6 + -1 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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