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Simplifying 25 + -1(2 + 7x + -2(x + 4)) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Reorder the terms: 25 + -1(2 + 7x + -2(4 + x)) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) 25 + -1(2 + 7x + (4 * -2 + x * -2)) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) 25 + -1(2 + 7x + (-8 + -2x)) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Reorder the terms: 25 + -1(2 + -8 + 7x + -2x) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Combine like terms: 2 + -8 = -6 25 + -1(-6 + 7x + -2x) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Combine like terms: 7x + -2x = 5x 25 + -1(-6 + 5x) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) 25 + (-6 * -1 + 5x * -1) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) 25 + (6 + -5x) = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Combine like terms: 25 + 6 = 31 31 + -5x = -3(5x + -4) + -1(6(x + -1) + -13x + 5) Reorder the terms: 31 + -5x = -3(-4 + 5x) + -1(6(x + -1) + -13x + 5) 31 + -5x = (-4 * -3 + 5x * -3) + -1(6(x + -1) + -13x + 5) 31 + -5x = (12 + -15x) + -1(6(x + -1) + -13x + 5) Reorder the terms: 31 + -5x = 12 + -15x + -1(6(-1 + x) + -13x + 5) 31 + -5x = 12 + -15x + -1((-1 * 6 + x * 6) + -13x + 5) 31 + -5x = 12 + -15x + -1((-6 + 6x) + -13x + 5) Reorder the terms: 31 + -5x = 12 + -15x + -1(-6 + 5 + 6x + -13x) Combine like terms: -6 + 5 = -1 31 + -5x = 12 + -15x + -1(-1 + 6x + -13x) Combine like terms: 6x + -13x = -7x 31 + -5x = 12 + -15x + -1(-1 + -7x) 31 + -5x = 12 + -15x + (-1 * -1 + -7x * -1) 31 + -5x = 12 + -15x + (1 + 7x) Reorder the terms: 31 + -5x = 12 + 1 + -15x + 7x Combine like terms: 12 + 1 = 13 31 + -5x = 13 + -15x + 7x Combine like terms: -15x + 7x = -8x 31 + -5x = 13 + -8x Solving 31 + -5x = 13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 31 + -5x + 8x = 13 + -8x + 8x Combine like terms: -5x + 8x = 3x 31 + 3x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 31 + 3x = 13 + 0 31 + 3x = 13 Add '-31' to each side of the equation. 31 + -31 + 3x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 13 + -31 3x = 13 + -31 Combine like terms: 13 + -31 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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